- Graph Functions by Plotting Points Videos - Free Educational Videos for Students in K - 12

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This page provides a list of educational videos related to - Graph Functions by Plotting Points. You can also use this page to find sample questions, apps, worksheets, lessons , infographics and presentations related to - Graph Functions by Plotting Points.


Understanding logarithms as inverse exponentials


By Khan Academy

Given a few points on the graph of an exponential function, Sal plots the corresponding points on the graph of the corresponding logarithmic function.

Inverse Functions | MathHelp.com


By MathHelp.com

In this example, we’re given a relation in the form of a chart, and we’re asked to find the inverse of the relation, then graph the relation and its inverse. To find the inverse of a relation, we simply switch the x and y values in each point. In other words, the point (1, -4) becomes (-4, 1), the point (2, 0) becomes (0, 2), the point (3, 1) becomes (1, 3), and the point (6, -1) becomes (-1, 6). Next, we’re asked to graph the relation and its inverse, so let’s first graph the relation. Notice that the relation contains the points (1, -4,), (2, 0), (3, 1), and (6, -1). And the inverse of the relation contains the points (-4, 1), (0, 2), (1, 3), and (-1, 6). Finally, it’s important to understand the following relationship between the graph of a relation and its inverse. If we draw a diagonal line through the coordinate system, which is the line that has the equation y = x, notice that the relation and its inverse are mirror images of each other in this line. In other words, the inverse of a relation is the reflection of the original relation in the line y = x.

Systems of Three Equations | MathHelp.com


By MathHelp.com

Here we’re asked to graph the following function and use the horizontal line test to determine if it has an inverse. And if so, find the inverse function and graph it. So let’s start by graphing the given function, f(x) = 2x – 4, and remember that f(x) is the same as y, so we can rewrite the function as y = 2x – 4. Now, we simply graph the line y = 2x – 4, which has a y-intercept of -4, and a slope of 2, or 2/1, so we go up 2 and over 1, plot a second point and graph our line, which we’ll call f(x). Next, we’re asked to use the horizontal line test to determine if the function has an inverse. Since there’s no way to draw a horizontal line that intersects more than one point on the function, the function does have an inverse. So we need to find the inverse and graph it. To find the inverse, we switch the x and the y in original function, y = 2x – 4, to get x = 2y – 4. Next, we solve for y, so we add 4 to both sides to get x + 4 = 2y, and divide both sides by 2 to get 1/2x + 2 = y. Next, let’s flip our equation so that y is on the left side, and we have y = 1/2x + 2. Finally, we replace y with the notation that we use for the inverse function of f, as shown here. And remember that we’re asked to graph the inverse as well, so we graph y = ½ x + 2. Our y-intercept is positive 2, and our slope is ½, so we go up one and over 2, plot a second point, graph the line, and label it as the inverse function of f. Notice that the graph of the inverse function is a reflection of the original function in the line y = x.

How To Graph Trigonometric Functions


By The Organic Chemistry Tutor

This trigonometry video tutorial explains how to graph sine and cosine functions using transformations, horizontal shifts / phase shifts, vertical shifts, amplitude, and the period of the sinusoidal function. This video contains many examples and practice problems on graphing trigonometric functions for you to master this topic.

12 - What are Inverse Functions? (Part 1) - Find the Inverse of a Function & Graph


By Math and Science

Quality Math And Science Videos that feature step-by-step example problems!

16 - What do Imaginary & Complex Roots of Equations Mean?


By Math and Science

Quality Math And Science Videos that feature step-by-step example problems!

Transformations of Functions


By The Organic Chemistry Tutor

This precalculus video tutorial provides a basic introduction into transformations of functions. It explains how to identify the parent functions as well as vertical shifts, horizontal shifts, vertical stretching and shrinking, horizontal stretches and compressions, reflection about the x-axis, reflection about the y-axis, reflections about the origins and more. Parent functions include absolute value functions, quadratic functions, cubic functions, and radical functions. This video contains plenty of examples on graphing functions using transformations.

04 - Graphing Parabolas - Vertex and Axis of Symmetry


By Math and Science

Quality Math And Science Videos that feature step-by-step example problems!

07 - What is an Exponential Function? (Exponential Growth, Decay & Graphing).


By Math and Science

Quality Math And Science Videos that feature step-by-step example problems!

06 - Equations & Definition of Conic Sections - Circle, Ellipse, Parabola & Hyperbola


By Math and Science

Quality Math And Science Videos that feature step-by-step example problems!

02 - Solve Perfect Square Quadratic Equations Part 1


By Math and Science

Quality Math And Science Videos that feature step-by-step example problems!

Finding The Focus and Directrix of a Parabola - Conic Sections


By The Organic Chemistry Tutor

This video tutorial provides a basic introduction into parabolas and conic sections. It explains how to graph parabolas in standard form and how to graph parabolas with the focus and directrix. The vertex of the parabola can be identified by analyzing the equation in standard form.

15 - Complex Numbers & the Complex Plane


By Math and Science

Quality Math And Science Videos that feature step-by-step example problems!

15 - What is a Logarithm (Log x) Function? (Calculate Logs, Applications, Log Bases)


By Math and Science

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12 - Solving 3-Variable Linear Systems of Equations - Substitution Method


By Math and Science

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05 - Quadratic Systems of Equations (With Lines, Circles, Ellipses, Parabolas & Hyperbolas)


By Math and Science

Quality Math And Science Videos that feature step-by-step example problems!

07 - Equation of a Circle & Graphing Circles in Standard Form (Conic Sections)


By Math and Science

Quality Math And Science Videos that feature step-by-step example problems!

Hyperbolas - Conic Sections


By The Organic Chemistry Tutor

This conic sections video tutorial provides a basic introduction into hyperbolas. It explains how to graph hyperbolas and how to find the coordinates of the center, vertices, and foci. In addition, it explains how to write the equations of the asymptotes.