Interactive, free online graphing calculator from GeoGebra: graph functions, plot data, drag sliders, and much more * Equation Grapher*. Description:: All Functions. Enter an Equation using the variables x and/or y and an =, press Go: Description . It can plot an equation where x and y are related somehow (not just y=...), like these These online calculators find the equation of a line from 2 points. First calculator finds the line equation in slope-intercept form, that is, . It also outputs slope and intercept parameters and displays line on a graph. Second calculator finds the line equation in parametric form, that is,

A free graphing calculator - graph function, examine intersection points, find maximum and minimum and much more This website uses cookies to ensure you get the best experience. By using this website, you agree to our Cookie Policy * The equation of the parabola whose graph is given above is \( y = (x + 1)(x - 2) = x^2 - x - 2\) Example 2 Graph of parabola given vertex and a point Find the equation of the parabola whose graph is shown below*. Solution to Example 2 The graph has a vertex at \( (2,3) \). Hence the equation of the parabola in vertex form may be written a You can click-and-drag to move the **graph** around. If you just click-and-release (without moving), then the spot you clicked on will be the new center To reset the zoom to the original click on the Reset button. Using a Values. There **Equation** Grapher **Graphs** Index Free graphing calculator instantly graphs your math problems

Tom Lucas, Bristol. Wednesday, February 21, 2018 It would be nice to be able to draw lines between the table points in the Graph Plotter rather than just the points. Emmitt, Wesley College. Monday, July 22, 2019 Would be great if we could adjust the graph via grabbing it and placing it where we want too. thus adjusting the coordinates and the equation.. 82 Comments on How to find the equation of a quadratic function from its graph Alan Cooper says: 18 May 2011 at 12:08 am [Comment permalink] Thanks, once again, for emphasizing real math (for both utility and understanding)

* Finding the Equation of a Line from Its Graph Suppose you are given the graph of a line in the coordinate plane, and asked to find its equation*. If you can find the y -intercept and the slope , you can write the equation in slope-intercept form (unless, of course, it's a vertical line . Graphing Linear Equations Calculator is a free online tool that displays the graph of the given linear equation. BYJU'S online graphing linear equations calculator tool makes the calculation faster and it displays the graph in a fraction of seconds I need to find a equation which can be used to describe a graph. I have attached file which contains more details. Is there any curve fitting software that I can use Equation of sine or cosine graph. How to determine the equation of a sine and cosine graph, How to identify the graph of a stretched cosine curve, trigonometric videos, worksheets, games and activities that are suitable for Algebra 2 students, with video lessons, examples and step-by-step solutions

The online curve plotter has several options that allow you to customize the graph. To access these options, click on the options button. It is then possible to define the boundaries of the graphs, to validate these changes, it is necessary to click again the button options. Draw the tangent of a function to a poin Calculator that allows the calculation of the discriminant of a quadratic equation online. Equation solver: equation_solver. The equation solver allows to solve equations with an unknown with calculation steps : linear equation, quadratic equation, logarithmic equation, differential equation. Find equation of a straight line from two points.

Determine whether a given graph represents a function. Determine whether a given graph represents a function. If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked Welcome back! This video will show you how to find the equation of a graph/line in excel. This equation/formula can be from any type of scatter graph for exa.. Create graph online and use big amount of algorithms: find the shortest path, find adjacency matrix, find minimum spanning tree and other Free quadratic equation calculator - Solve quadratic equations using factoring, complete the square and the quadratic formula step-by-ste

Determine which type of equation, linear or exponential, will fit the graph. Identify at least three points from the graph. Find the slope of the line, using any two of the points. Find the -intercept of the line. Use the slope and -intercept to find an equation of the line Practice finding the slope-intercept equation of a line from its graph. If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked This is the vid to find the piecewise defined equation from a graph. First I find the equations of the pieces then I find the piecewise defended function. It..

- how to graph linear equations by plotting points. how to graph linear equations by finding the x-intercept and y-intercept. how to graph linear equations using the slope and y-intercept. The following diagrams show the different methods to graph a linear equation. Scroll down the page for more examples and solutions
- us 1, then the y-intercept would be negative 1. You'll also need to find the slope, which would be 2/1, since it needs to be converted to a fraction
- Graph Simple Equations GraphSketch. The old equation grapher we provided used Flash, which is grossly out-of-date and not widely supported any longer. We're hoping to bring back a new tool to graph equations, but for the moment, we'd recommend GraphSketch, which is a free tool to produce nic
- I think you can see that the plot looks like a curve (than a straight line), and I want to be able to find the equation of that curve. - user238469 Mar 31 '12 at 2:46 The data here is of the form {(x_i, y_i) : i = 1,...,N}, a discrete set of points

To find the equation of a line or a circle, or to find the coordinates of a point, follow these steps: Press [GRAPH][ZOOM][7] to select the Eqns/Coords tool from the MEAS menu. Use the arrow keys to move the cursor to the object whose equation or coordinates you want to find and press [ENTER] Graph any equation, find its intersections, create a table of values. scientific calculator Trig functions, logs and other features like permutations and combinations. matrix calculator Add, multiply, transpose matrices and more. statistics calculator Standard deviation, correlation coefficient, regressions, T-Tests

- Graph the following equation: y=2x+1 How to Graph the Equation in Algebra Calculator. First go to the Algebra Calculator main page. Type the following: y=2x+1; Try it now: y=2x+1 Clickable Demo Try entering y=2x+1 into the text box. After you enter the expression, Algebra Calculator will graph the equation y=2x+1. More Examples Here are more.
- Online 2D and 3D plotter with root and intersection finding, easy scrolling, and exporting features
- We can use the points on a graph of a linear relationship to write an equation for the relationship. The equation of a linear relationship is y = mx + b, where m is the rate of change, or slope, and b is the y-intercept (The value of y when x is 0). Example 1

Equation from 2 points using Point Slope Form. As explained at the top, point slope form is the easier way to go. Instead of 5 steps, you can find the line's equation in 3 steps, 2 of which are very easy and require nothing more than substitution! In fact, the only calculation, that you're going to make is for the slope * Find the gradient and y intercept from the equation of a line*. Know the formula y = mx + c and understand that m = gradient and c = y-intercept. Work out the gradient and y-intercept from the equation of a line without the graph. e.g. What is the gradient and y-intercept of the line y = 4x+2 . Match together equations and lines. Know the.

We can use the information from a table to write the linear equation that represents a given situation without drawing the graph. Example 1 : The table shows the temperature of a fish tank during an experiment ** However, given a rectangular equation and an equation describing the parameter in terms of one of the two variables, a set of parametric equations can be determined**. To find a set of parametric equations for the graph represented by y = x 2 + 2 given t = x + 2, let t = x Find the slope of a line on the coordinate plane. If you're seeing this message, Math Algebra 1 Linear equations & graphs Slope. Slope. Intro to slope. Positive & negative slope. Worked example: slope from graph. Practice: Slope from graph. This is the currently selected item Examine the equation for the line, which Excel is now displaying overlaid on the scatter plot. The equation will be in the form of y = mx + b where m and b will be numbers. The value of m is the slope of the graph. For example, if the equation is y = 5.2x + 7, the slope is 5.2 The **equation** of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.. If you a point that a line passes through, and its slope, this page will show you how to **find** the **equation** of the line

I want to make it so the equation appears beside the curve of the graph, but I searched Excel high and low and I can't find how to do that. I have the later (2008?) version of Excel, if that helps. Thanks Graphing such an equation by plotting points comes down to finding points belonging to the graph using its equation. It is pretty simple to find the points that will help you graph using equations and all that is needed to do is to find at least 2 points and draw a straight line using these two points How to find the slope of a line from its graph--explained by a video tutorial with pictures, examples and several practice problems This is a quadratic equation calculator, which includes all the steps and the graph of the quadratic function. Biquadratic equation. This is a online solver for biquadratic equations. Includes all the steps and the graph of the biquadratic function. System of equations 3x3. This is a system calculator of linear equations with 3 variables

I am attempting to build a program that finds (roughly) the equation of a graph given the coordinates of a bunch of points on the graph. The assumption is made that the coordinates given represent the entirety of the graph (ie: the behavior does not change outside the given domain) Draw the graphs of the following equations : 2x - y = 1, x + 2y = 13, Find the solution of the equations from the graph and shade the triangular region formed try the lines and the y - axis Graph a linear equation by plotting points. Find three points whose coordinates are solutions to the equation. Organize them in a table. Plot the points in a rectangular coordinate system. Check that the points line up. If they do not, carefully check your work Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the point(s) with the given value of x. Xy - 13x + 16 = 0; x=4 Find the equation(s) of the tangent line(s) to the graph of the given equation at x = 4. (Type an equation. Use a comma to separate answers as needed. Graphing Linear Equation: Type 3. To graph a linear equation, first make a table of values. Assume your own values for x for all worksheets provided here. Substitute the x values of the equation to find the values of y. Complete the tables, plot the points, and graph the lines

- Recall that a linear equation graphs as a line, which indicates that all of the points on the line are solutions to that linear equation. There are an infinite number of solutions. As we saw in the last section, if you have a system of linear equations that intersect at one point, this point is a solution to the system
- GraphCalc is the best free online graphing calculator that almost completely replaces the TI 83 and TI 84 plus calculators. GraphCalc allows you to graph 2D and 3D functions and equations as well as find intersects and create table values. How to Use an Online Curve PlotterContents1 How to Use an Online Curve Plotter1.1 Ho
- Equations Knowing how to find the slope and the y-intercept helps us to graph a line when we know its equation, and also helps us to find the equation of a line when we have its graph. The equation of a line can always be written in this form, where m is the slope and b is the y-intercept: y = mx +
- By Yang Kuang, Elleyne Kase . In pre-calculus, you may need to find the equation of asymptotes to help you sketch the curves of a hyperbola. Because hyperbolas are formed by a curve where the difference of the distances between two points is constant, the curves behave differently than other conic sections
- Elementary Algebra Skill Writing Equations of Lines Given the Graph Write the slope-intercept form of the equation of e ach line. 1) −5−4−3−2−10 1 2 3 4
- The graphs of first-degree equations in two variables are always straight lines; therefore, such equations are also referred to as linear equations. In the above example, the values we used for x were chosen at random; we could have used any values of x to find solutions to the equation
- Q. Find the slope of the line that connects the points (2, -3) and (5, 6

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.. If you know two points that a line passes through, this page will show you how to find the equation of the line

- Improve your math knowledge with free questions in Graph a linear equation and thousands of other math skills
- The best option I can think of is to use graph digitization software to extract the data, then use a curve fit to obtain an equation for each line (lots of software can do this: Excel, MATLAB, etc). By this method you could get at least as much accuracy as reading values off the graph, and it could then be included in a computer program
- The tutorial describes all trendline types available in Excel: linear, exponential, logarithmic, polynomial, power, and moving average. Learn how to display a trendline equation in a chart and make a formula to find the slope of trendline and y-intercept
- Menu Algebra 2 / How to graph functions and linear equations / Graph inequalities. In order to graph an inequality we work in 3 steps: First we graph our boundaries; we dash the line if the values on the line are not included in the boundary. If the values are included we draw a solid line as before
- which is the same equation as we got when we read the y-intercept from the graph. To summarize how to write a linear equation using the slope-interception form you. Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula. Find the y-intercept
- Straight line equations and graphs for Foundation and Higher GCSE. 4.9 21 customer reviews. Author: Created by lynneinjapan. Preview. Created: Feb 26, 2016 | Updated: Oct 2, 2020. Latest version (19/10/18) covers both Foundation and Higher Tiers

- e a curve based on an image a number of simple mathematical techniques can be applied. For this example we are going to be estimating the curve of this bridge that I found of the internet. As we can see both arcs seem to fit a.
- You can convert this equation to standard form, but if you're looking for a more direct method to find slope, you can also convert directly to slope intercept form. All you have to do is isolate y on one side of the equal sign
- Interactive Quadratic Function Graph. In the previous section, The Graph of the Quadratic Function, we learned the graph of a quadratic equation in general form y = ax 2 + bx + c. is a parabola.. In the following applet, you can explore what the a, b, and c variables do to the parabolic curve.. The effects of variables a and c are quite straightforward, but what does variable b do
- ated. Then, see how find the value of that variable and use it to find the value of the other variable. Take a look
- ute. Look at the table below to write an equation that matches the data
- Draw the graph of \(y = x^2 -x - 4 \) and use it to find the roots of the equation to 1 decimal place. Draw and complete a table of values to find coordinates of points on the graph.
- 8 Linear Equations Worksheets. Each linear equations worksheet on this page shows four graphs on a coordinate plane, each with two points labeled, and students find the equation in slope-intercept form by calculating both the slope and y-intercept

How To Find Intercepts. Intercepts are where the function crosses the x-axis (the x-intercept) and the y-axis (the y-intercept). There are several ways you can find intercepts: The guess and check method, ; Factoring, ; The quadratic equation, ; Finding the solution using a graphing calculator.; Guess and check works well for very simple equations like y = x + 2, but you'll rarely be dealing. Sketch the graph of the parametric equations \(x=t^2+t\), \(y=t^2-t\). Find new parametric equations that shift this graph to the right 3 places and down 2. Solution The graph of the parametric equations is given in Figure 9.22 (a). It is a parabola with a axis of symmetry along the line \(y=x\); the vertex is at \((0,0)\) Linear equations can be shown on a graph. Find out how to create one in this Bitesize KS3 maths video Do not worry about the equations for these polynomials. We are giving these only so we can use them to illustrate some ideas about polynomials. First, notice that the graphs are nice and smooth. There are no holes or breaks in the graph and there are no sharp corners in the graph. The graphs of polynomials will always be nice smooth curves

- Slope & Equation of a Line. Graph an Equation. Graph Horizontal & Vertical Lines. Graphs. Graph from a Standard form Eq. Line Gem Game. Algebra vs. Cockroaches. Slope Tutorial. Rags to Riches - Slope. Slope Jeopardy. Slope and y-intercept. Slope Hangman. Graphing ~ Slope - Intercept Form. Slope - Intercept Form Jeopardy. Point - Slope.
- g to an answer by using matrices but we haven't learned that in class and my teacher isn't the kind of person to do that sort of thing
- Question: Find An Equation Of The Line Tangent To The Graph Of Fx This question hasn't been answered yet Ask an expert. Find an equation of the line tangent to the graph of f
- Graphing a Quadratic Equation. Loading... Graphing a Quadratic Equation Graphing a Quadratic Equation. Log InorSign Up. y = ax 2 + bx + c. 1. a = 1. 2. b = 0. 3 $$ 3 $$ − A B C $$ $$ π $$ 0 $$. $$ = $$ + Sign UporLog In. to save your graphs! New Blank Graph. Examples. Lines: Slope Intercept Form. example. Lines: Point Slope Form. example.
- Online Graphing Calculator helps to plot a straight line graph for the given mx+c linear equation. Code to add this calci to your website Just copy and paste the below code to your webpage where you want to display this calculator
- Second graph: g(x) Derivative Integral +C: Blue 1 Blue 2 Blue 3 Blue 4 Blue 5 Blue 6 Red 1 Red 2 Red 3 Red 4 Yellow 1 Yellow 2 Green 1 Green 2 Green 3 Green 4 Green 5 Green 6 Black Grey 1 Grey 2 Grey 3 Grey 4 White Orange Turquoise Violet 1 Violet 2 Violet 3 Violet 4 Violet 5 Violet 6 Violet 7 Purple Brown 1 Brown 2 Brown 3 Cyan Transp. Self 1 Self 2 Self

Solving Simultaneous Equations program, graph an equation with unknowns in excel, expression repeating decimal as a fraction, Beginning Algebra online textbook. Intermediate algebra solutions, highest common factor calculator, addition and subtraction fraction equations calculator, calculate logarithmic equations, quadratic equation for vector, rules for add subtract divide and multiply integers In case you want advice with math and in particular with Online Equation Rearranger or matrix algebra come visit us at Polymathlove.com. We keep a ton of high quality reference tutorials on subjects ranging from numerical to inequalitie Advanced Grapher - Graphing Software. Advanced Grapher is a powerful graphing software.You can use it to plot graphs of equations, inequalities and tables. The program also allows you to perform curve fitting, analyze functions, find intersections of graphs, do numerical integration, and more

Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by the equation. {eq}\displaystyle x = -\dfrac 1 8 y^2 + 4 {/eq} Sketch the graph Online Linear Regression Calculator. This page allows you to compute the equation for the line of best fit from a set of bivariate data: Enter the bivariate x,y data in the text box.x is the independent variable and y is the dependent variable.Data can be entered in two ways Answer to: Find the equation of the tangent line to the graph of the function y = x^2 - 5 at the point with x-coordinate 2. By signing up, you'll.. It looks easy to me to hard code, type in, the X and Y values for each curve do that. Then create the graph. Then right click on any datapoint on the curve of interest and click Add Trendline from the menu that opens. You have several options no..

- ator equal to zero and solving. Find the horizontal asymptote, if it exists, using the fact above. The vertical asymptotes will divide the number line into regions. In each region graph at least one point in each region
- This online calculator solves quadratic equation, finds factored form of a quadratic trinomial, finds area between the graph and x-axis and draws the graph of quadratic function. The calculator will generate a step-by-step explanation for each computation
- Use the first equation to solve for a in terms of b: Substitute a in the second equation, and solve for b: Use the value of b in the first equation to solve for the value of a: Thus, the equation is [latex]f\left(x\right)=2.4492{\left(0.6389\right)}^{x}[/latex]. We can graph our model to check our work
- Equation of Straight Line Graphs. Mathematics education blog showing how to teach finding the equation of a straight line graph in the form y = mx + c. Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line CCSS.Math.Content.8.F.A.3
- x max y
- Finding Slope From a Graph Date_____ Period____ Find the slope of each line. 1) x y 2) x y 3) x y 4) x y 5) x y 6) x y 7) x y 8) x y-1-©r B2N0w1y2 D nK ru0thay gS SoYf1tPwLasr meq aL4L1Cs. i 2 bA NlblG Trti bgghFtCsd zr vevs se Pr wvreidp. f 9 ZMca sd0e R 2wHist 9hf 8Ian EfDitn 5ibtke c UAvlxg oeUb8r3a W o1 R.q Worksheet by Kuta Software LL
- Graphing equations is the heart of Algebra! Especially graphing linear equations, which will be the focus of this unit. You'll find that when working with those impossible word problems, a graph can give you an unbelievable amount of information and help you to solve the problem more easily

** Online graphing calculator to draw the graph for the given upper and lower limits of the quadratic equation**. Code to add this calci to your website Just copy and paste the below code to your webpage where you want to display this calculator In research, it is common to find publications that have graphs of data you are interested in, but no numeric tables of the underlying data. Some analysis requires the numeric form, and getting that data from authors can be a hit-or-miss proposition. This page describes how to extract numeric data from graphs with a high degree of accuracy Improve your math knowledge with free questions in Write equations for proportional relationships from graphs and thousands of other math skills

This video is about the Equation of Axis of Symmetry, The video is about the equation which is x = 3/4. In order to score correct marks for this equation, the gentleman in the video describes how and where to write x = 3/4, he says it has to be written on the graph, and the video contains the example graph. It is quite an interesting educational video, especially for those doing mathematics. Plot using Quick Graph. If you want to practice your plots or learn more about graphing an equation use Quick Graph.. If you already have Quick Graph, press here to see this equation Given algebraic, tabular, and graphical representations of linear functions, the student will determine the slope of the relationship from each of the representations

How to find equation of a curve from points. 1. Fit a Quadratic Curve to Data. 1. Find a sinusoidal regression equation for some given data. 0. Approximating a sigmoid curve from noisy data. Hot Network Questions Does a Divine Soul Sorcerer have access to the additional cleric spells in Tasha's Cauldron of Everything Create online graphs and charts. Choose from different chart types, like: line and bar charts, pie charts, scatter graphs, XY graph and pie charts Find the equation of the line for each pair of points. Then, use the Equation of a Line Maker to check each of your answers. Remember, you will not use the Equation of a Line Maker on tests, but you can use it to check your work while you practice Key graph features: Math Assistant calculates interesting information about the graph, such as zeros, intercepts, minima, maxima, and more. Use the checkboxes to select which features you'd like to display on the graph. See also. Create math equations with ink or text using Math Assistant in OneNote. Solve math equations with Math Assistant in.

Mode: . `f(x)` = `g(x)` = `h(x)` = `k(x)` = f(x)` = `g(x)` = `h(x)` = `k(x)` Free student math practice. Change answer; Mat Linear Equations. Find the equation for a graph in the form y=mx+b when you are given two points on the graph.. Directions: Enter the points in the form x,y with no spaces, for example, 3,4 or -2.3,5.72. The large text window will show the calculations steps for finding the slope from the two points and then substituting the x,y coordinates to find the value of the y-intercept, The graph of the equation y = mx + b is a straight line with slope m and y -intercept ( 0 ; b ). Procedure: (Writing an Equation in Slope-Intercept Form) To write a linear equation in slope-intercept form, solve the equation for y . Examples: Write the equations in slope-intercept form. Then find the slope and y-intercept. 1. 8x + 2y = -

As these are equations, they may be rearranged so you may also work out the length of a side (should you know the angle an in the example above)! Actually, since the graph continues forever in both directions, there are an endless number of angles which have a tangent of a particular value Five steps to graph an equation in OneNote. Begin by writing your equation. For example: y=x+3 or y=sin(x)+cos(2x). Next, use Lasso tool to select the equation and then, on the Draw tab, click the Math button. From the drop-down menu in Math pane, select the option to Graph in 2D Equations of a Straight Line. In the applet below, lines can be dragged as a whole or with one of the two defining points. When a line is dragged or clicked upon, one of its equations is displayed just beneath the graph Creating equations (Algebra) Write quadratic equations using data from tables. Instructional video. Write quadratic equations using data from tables From LearnZillion Created by Bradley Mitchell Standards; Tags. teaches Common Core State Standards HSA-CED.A.2 http.

- Example: Plotting Quadratics Plot the following quadratic equation: y=x^2-x-5 [2 marks] First draw a table of coordinates from x=-2 to x=3, then use the values to plot the graph between these values of x.. Step 1: Draw a table for the values of x between -2 and 3. Step 2: Substitute our values of x into the equation to get the corresponding y values. For example, when x=\textcolor{red}{-2}, we ge
- ator, solving second order equation in jave. Equation solver third, polynomials: operations and factoring calculator, 5th grade taks test study worksheets free
- To graph an equation on the coordinate plane, find the coordinate by giving a value to one variable and solving the resulting equation for the other value. Repeat this process to find other coordinates. (When giving a value for one variable, you could start with 0, then try 1, and so on.) Then graph the solutions. Example 1. Graph the equation.
- d what you're really doing is finding out what number represents how steep the line is
- Graph an equation by plotting points. Introduction. This section covers the basic ideas of graphing: rectangular coordinate system, solutions to equations in two variables, and sketching a graph. Graphs are important in giving a visual representation of the correlation between two variables. Even.
- Graphing Linear Equations Using Slope and Intercepts 6) 3x - 4y = -6 Find the x-intercept Find the y-intercept 7) 10y = -2x + 15 Find the x-intercept Find the y-intercept This now meansthat there are THREE methods we can use to graph linear equations. We can use a T-table, or we can us

- Given an equation of curvature, how does one find the family of parametric equations that fit? Hot Network Questions Were a large number of votes from suspiciously old Pennsylvanians received in the 2020 US presidential election
- Convert a point in the Cartesian plane to its equal polar coordinates with this polar coordinate calculator. Polar coordinates also take place in the x-y plane but are represented by a radius and angle as shown in the diagram below
- cubic equation calculator, algebra, algebraic equation calculator. Input MUST have the format: AX 3 + BX 2 + CX + D = 0 . EXAMPLE: If you have the equation: 2X 3 - 4X 2 - 22X + 24 = 0. then you would input
- Online Quiz; Worksheets; Graphing ordered pairs and writing an equation from a table of values in context. Online Quiz; Worksheets; Writing an equation and drawing its graph to model a real-world situation: Basic. Online Quiz; Worksheets; Identifying independent and dependent quantities from tables and graphs. Online Quiz; Worksheet

A polar point is of the form (r,ø) and a polar equation graphs a series of these polar points according to the function of the equation on a polar graph. INVESTIGATION #1. We want to look at what happens to the graph of. r = a + bcos(kø) for a=b, a>b, and a<b and when k is in integer values between 0 and 6.28 radians Semi-log Graph. The first is called a semi-log graph. In a semi-log graph the y-axis is logarithmic, which means the seperation between the ticks on the graph is proportional to the logarithm of numbers. The x-axis has a linear scale, which means the ticks are evenly spaced. A semi-log graph is useful when graphing exponential functions Solution for Find the equation and sketch the graph of a rational function that passes through (0,0) and (5,10/9) ,has the x-axis as a horizontal asymptote