Videos

Video thumbnail for How to draw y=f(|x|) graphs : ExamSolutions Maths Revision
10:47
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How to draw y=f(|x|) graphs : ExamSolutions Maths Revision

Tutorial on drawing modulus graphs. Go to http://www.examsolutions.net/ for the index, playlists and more maths videos on modulus functions, graphs and other maths topics. THE BEST THANK YOU: https://www.examsolutions.net/donation/
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· Aug 17, 2013
Video thumbnail for How to draw y=|f(x)| graphs : ExamSolutions
09:46
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How to draw y=|f(x)| graphs : ExamSolutions

Tutorial on drawing modulus graphs. YOUTUBE CHANNEL at https://www.youtube.com/ExamSolutions EXAMSOLUTIONS WEBSITE at https://www.examsolutions.net/ where you will have access to all playlists covering pure maths, statistics and mechanics. https://www.facebook.com/examsolutions.net/ NEW INSTAGRAM: https://www.instagram.com/examsolutionsguy ...
YouTube
· Feb 2, 2011
Video thumbnail for How to Sketch a function y = f(x) given the graph of its derivative y = f'(x)
18:04
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How to Sketch a function y = f(x) given the graph of its derivative y = f'(x)

We learn how to sketch a function y = f(x) given the graph of its derivative y = f'(x) and how to interpret, or read, the graph of a function's derivative function. Three detailed examples are worked through, in which we construct sign tables for the first and second derivative to determine whether the function increases, decreases, is concave ...
YouTube
· Apr 1, 2020
Video thumbnail for How to graph y = f(x)
11:33
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How to graph y = f(x)

(4.5) Graphing using f', f'', algebra, and hard work.
YouTube
· Aug 12, 2023
Video thumbnail for Quick! Graph y=-f(x) for any f(x)
03:12
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Quick! Graph y=-f(x) for any f(x)

This "Quick! Graph" video explores the effect of the transformation -f(x) on any f(x).
YouTube
· Jan 5, 2021
Video thumbnail for How To Graph Equations - Linear, Quadratic, Cubic, Radical, & Rational Functions
01:25:59
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How To Graph Equations - Linear, Quadratic, Cubic, Radical, & Rational Functions

This video shows you how to graph almost any equation that you may encounter in Algebra 1, Algebra 2, Trigonometry, Pre-Calculus, or Calculus AP course. Domain & Range - Formula Sheet: https://www.video-tutor.net/precalculus-formula-sheets.html Quadratic Equations - Free Formula Sheet: https://www.video-tutor.net/algebra-formula-sheet.html ...
YouTube
· Feb 16, 2016
Video thumbnail for The graph of y = f(x) + 1 is shown. Which equation defines the function f?
03:52
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The graph of y = f(x) + 1 is shown. Which equation defines the function f?

Official May 2022 US SAT Section 4 Question 30
YouTube
· Jul 30, 2022
Video thumbnail for Sketching Derivatives From Parent Functions - f f' f' Graphs - f(x), Calculus
31:21
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Sketching Derivatives From Parent Functions - f f' f' Graphs - f(x), Calculus

This calculus video tutorial explains how to sketch the derivatives of the parent function using the graph f(x). This video contains plenty of examples and practice problems. Calculus 1 Final Exam Review: https://www.youtube.com/watch?v=WmBzmHru78w Derivative Applications - Free Formula Sheet: https://www.video-tutor.net/calculus-formula-sheets ...
YouTube
· Dec 5, 2016
Video thumbnail for Graphing a Basic Function
05:36
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Graphing a Basic Function

u17_l2_t2_we1 Graphing a Basic Function More free lessons at: http://www.khanacademy.org/video?v=2-dUHLHeyTY Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
YouTube
· Nov 7, 2011
Video thumbnail for Transformation of graphs Lecture 2: GREATEST INTEGER FUNCTION y=f(([x]) y=[f(x)] with examples
07:27
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Transformation of graphs Lecture 2: GREATEST INTEGER FUNCTION y=f(([x]) y=[f(x)] with examples

Transformation of graphs using GREATEST INTEGER FUNCTION [Lecture 3]. In this video you will learn how to draw the graph of y=f(([x]) and y=[f(x)] from the graph of y=f(x) Example 1: y=[x]^2 Example 2: y=[x]^1/2 Example 3: y=[x^2] Example 4: Integrate [2/e^x] Example 5: y=[2sinx] Support the channel: UPI link: 7906459421@okbizaxis UPI Scan code ...
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· Dec 10, 2019
Video thumbnail for 2.1D Graphing f(x) Given the Graph of f'(x)
25:30
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2.1D Graphing f(x) Given the Graph of f'(x)

Download worksheets or request videos/tutoring at https://patreon.com/MrHelpfulNotHurtful AP Calculus Review: https://www.youtube.com/c/MrHelpfulNotHurtful/playlists?view=50&sort=dd&shelf_id=1 We are given the graph of f'(x), the derivative. I will show you how to sketch the graph of the original function f(x). This is so much fun you guys! It ...
YouTube
· Jul 22, 2021
Video thumbnail for Graphing a Function of Two Variables
11:07
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Graphing a Function of Two Variables

An example of graphing a function z=f(x,y), including a discussion of domain and range for this function.
YouTube
· Feb 27, 2020
Video thumbnail for Solving Systems of Equations By Graphing
05:15
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Solving Systems of Equations By Graphing

This algebra video tutorial explains how to solve systems of equations by graphing. The solution is the point of intersection of the two graphs. Matrices - Free Formula Sheet: https://www.video-tutor.net/precalculus-formula-sheets.html System of Equations: https://www.video-tutor.net/systems-of-equations.html Final Exam and Test Prep Videos ...
YouTube
· Jan 18, 2018
Video thumbnail for How to Graph a Quadratic and Find Intercepts, Vertex, & Axis of Symmetry!
10:57
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How to Graph a Quadratic and Find Intercepts, Vertex, & Axis of Symmetry!

On this lesson, you fill learn how to graph a quadratic function, find the axis of symmetry, vertex, and the x intercepts and y intercepts of a parabola...without a graphing calculator! This lesson answers the following questions: What is a quadratic function? What does a quadratic function look like? What is a quadratic equation? How do I find ...
YouTube
· Oct 1, 2015
Video thumbnail for Transformations of graph Lecture 4: Fractional part function y=f({x}) and y={f(x)} with examples
05:04
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Transformations of graph Lecture 4: Fractional part function y=f({x}) and y={f(x)} with examples

Transformations of graph using fractional part function [Lecture 4]. In this video you will learn how to draw the graph of y=f({x}) and y={f(x)} from the graph of y=f(x). Example 1: y=e^{x} Example 2: y=ln{x} Example 3: y={x^2} Example 4: y={sinx} Support the channel: UPI link: 7906459421@okbizaxis UPI Scan code: https://mathsmerizing.com/wp ...
YouTube
· Dec 10, 2019
Video thumbnail for Domain and Range of a Function From a Graph
13:24
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Domain and Range of a Function From a Graph

This precalculus video tutorial explains how to find the domain and range of a function given its graph in interval notation. The domain represents all of the x values in the function and the range represents all of the y values. You should use parentheses for open circles and infinity symbols, but you should use brackets for closed circles ...
YouTube
· Feb 9, 2018
Video thumbnail for Graphing Rational Functions With Vertical, Horizontal & Slant Asymptotes, Holes, Domain & Range
54:04
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Graphing Rational Functions With Vertical, Horizontal & Slant Asymptotes, Holes, Domain & Range

This algebra 2 / precalculus video tutorial explains how to graph rational functions with asymptotes and holes. It shows you how to identify the vertical asymptotes by setting the denominator equal to zero and solving for x. It shows you how to find the equation of the horizontal asymptote by comparing the degree of the numerator with that of ...
YouTube
· Jan 15, 2017
Video thumbnail for Transformations of Graphs : Reflections y = - f(x), f(-x) : ExamSolutions
04:54
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Transformations of Graphs : Reflections y = - f(x), f(-x) : ExamSolutions

Tutorial on transformations of graphs and more specifically, reflections on the x-axis and y-axis. YOUTUBE CHANNEL at https://www.youtube.com/ExamSolutions EXAMSOLUTIONS WEBSITE at https://www.examsolutions.net/ where you will have access to all playlists covering pure maths, statistics and mechanics. https://www.facebook.com/examsolutions.net ...
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· Sep 10, 2010
Video thumbnail for Graphing Piecewise Functions - Precalculus
11:59
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Graphing Piecewise Functions - Precalculus

This precalculus video tutorial provides a basic introduction on graphing piecewise functions. It contains linear functions, quadratic functions, radical functions, and rational functions. This video contains plenty examples and practice problems on how to graph piecewise functions. Algebra Review: https://www.youtube.com/watch?v=i6sbjtJjJ-A ...
YouTube
· Jan 1, 2009
Video thumbnail for Graphing Inverse Functions
11:25
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Graphing Inverse Functions

This precalculus video tutorial explains how to graph inverse functions by reflecting the function across the line y = x and by switching the x and y coordinates and plotting the points using a data table. This video contains plenty of examples and practice problems on graphing inverse functions. Functions - Free Formula Sheet: https://www ...
YouTube
· Feb 12, 2018
Video thumbnail for Transformations of Graphs : Reflections y=-f(x), y=f(-x) Proof : ExamSolutions
09:02
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Transformations of Graphs : Reflections y=-f(x), y=f(-x) Proof : ExamSolutions

Tutorial on the proof of reflection transformations of graphs YOUTUBE CHANNEL at https://www.youtube.com/ExamSolutions EXAMSOLUTIONS WEBSITE at https://www.examsolutions.net/ where you will have access to all playlists covering pure maths, statistics and mechanics. https://www.facebook.com/examsolutions.net/ NEW INSTAGRAM: https://www.instagram ...
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· Sep 15, 2010
Video thumbnail for How To Graph Exponential Functions
10:49
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How To Graph Exponential Functions

This algebra video tutorial explains how to graph exponential functions using transformations and a data table. It explains how to identify the horizontal asymptote as well. This video contains plenty of examples and practice problems. It also explains how to identify the domain and range in interval notation. Domain and Range Formula Sheet ...
YouTube
· Jan 30, 2018
Video thumbnail for Graphing Trigonometric Functions
11:40
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Graphing Trigonometric Functions

We love to graph functions, and now that we know about the trigonometric functions, let's learn to graph those too! These are periodic functions, meaning they spit out the same values over and over and over, with a frequency that depends on the period of the function. This will be easy to understand if we have the unit circle memorized, so make ...
YouTube
· Jan 15, 2018
Video thumbnail for How to Graph y = x
02:51
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How to Graph y = x

In this video we'll draw the graph for y = x. You may also see this written as f(x) = x. First, we will use a table of values to plot points on the graph. Once we have two or three points, we can draw our line for the linear equation. You can choose any values of x for your table, however, 0, 1, and -1 are often best since they result in point ...
YouTube
· Nov 18, 2021
Video thumbnail for For the graph of function y = f(x) shown to the right, find the absolute maximum and the absolute m…
01:23
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For the graph of function y = f(x) shown to the right, find the absolute maximum and the absolute m…

For the graph of function y = f(x) shown to the right, find the absolute maximum and the absolute minimum, if they exist. Identify any local maxima or local minima. (4,4) Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. 0A The absolute maximum of y = f(x) is (Type integers or simplified ...
YouTube
· Mar 20, 2025
Video thumbnail for How To Graph Polynomial Functions Using End Behavior, Multiplicity & Zeros
20:28
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How To Graph Polynomial Functions Using End Behavior, Multiplicity & Zeros

This precalculus video tutorial explains how to graph polynomial functions by identifying the end behavior of the function as well as the multiplicity of each zero or x intercept. Algebra - Free Formula Sheets: https://www.video-tutor.net/formula-sheets.html Get The Full 50 Minute Video on Patreon: https://bit.ly/41WNmI9 Direct Link to The Full ...
YouTube
· Jan 17, 2021
Video thumbnail for Graphing Trigonometric Functions, Phase Shift, Period, Transformations, Tangent, Cosecant, Cosine
01:07:58
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Graphing Trigonometric Functions, Phase Shift, Period, Transformations, Tangent, Cosecant, Cosine

This trigonometry video tutorial focuses on graphing trigonometric functions. It explains how to identify the amplitude, period, phase shift, vertical shift, and midline of a sine or cosine function. In addition, it discusses how to graph sinusoidal functions using transformations. The graphs of tangent, cotangent, cosecant and secant are ...
YouTube
· Jan 26, 2017
Video thumbnail for How to graph a rational function using 6 steps
11:05
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How to graph a rational function using 6 steps

👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and then select some random points usually at each side of the asymptotes and the intercepts and graph the ...
YouTube
· Oct 15, 2015
Video thumbnail for Riemann Sums - Left Endpoints and Right Endpoints
20:10
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Riemann Sums - Left Endpoints and Right Endpoints

This calculus video tutorial provides a basic introduction into riemann sums. It explains how to approximate the area under the curve using rectangles over a closed interval. It explains how to determine the area of the region using left endpoints and right endpoints. The area under the curve is also equal to the definite integral of the ...
YouTube
· Mar 9, 2018
Video thumbnail for Transformations of Functions | Precalculus
21:54
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Transformations of Functions | Precalculus

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 ...
YouTube
· Apr 16, 2021
Video thumbnail for Graphing Quadratic Functions in Vertex & Standard Form - Axis of Symmetry - Word Problems
47:00
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Graphing Quadratic Functions in Vertex & Standard Form - Axis of Symmetry - Word Problems

This algebra 2 / precalculus video tutorial explains how to graph quadratic functions in standard form and vertex form. It shows you how to find the equation of the axis of symmetry, the maximum and minimum values, and how to graph using transformations. Algebra Review: https://www.youtube.com/watch?v=i6sbjtJjJ-A ...
YouTube
· Sep 26, 2016
Video thumbnail for Learn how to graph a quadratic
07:32
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Learn how to graph a quadratic

👉 Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a quadratic is a parabola which has an axis of symmetry, to plot some points to one side of the axis of symmetry ...
YouTube
· Oct 19, 2012
Video thumbnail for How To Graph Trigonometric Functions | Trigonometry
22:37
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How To Graph Trigonometric Functions | Trigonometry

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. Get The Full 1 ...
YouTube
· Apr 15, 2021
Video thumbnail for Graphing Piecewise Functions, Domain & Range - Limits, Continuity, & Absolute Value ,
28:56
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Graphing Piecewise Functions, Domain & Range - Limits, Continuity, & Absolute Value ,

This math video tutorial focuses on graphing piecewise functions as well determining points of discontinuity, limits, domain and range. Domain & Range - Free Formula Sheet: https://www.video-tutor.net/precalculus-formula-sheets.html Limits - Free Formula Sheet: https://www.video-tutor.net/calculus-formula-sheets.html Functions & Graphs - Video ...
YouTube
· Aug 23, 2016
Video thumbnail for How to Find The Point Where The Graph has a Horizontal Tangent Lines Using Derivatives
08:06
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How to Find The Point Where The Graph has a Horizontal Tangent Lines Using Derivatives

This calculus video tutorial explains how to find the point where the graph has a horizontal tangent line using derivatives. This video contains a few examples and practice problems. Calculus 1 Final Exam Review: https://www.youtube.com/watch?v=WmBzmHru78w Derivative Applications - Free Formula Sheet: https://www.video-tutor.net/calculus ...
YouTube
· Feb 24, 2018
Video thumbnail for Graphing Logarithmic Functions With Transformations, Asymptotes, and Domain & Range
20:56
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Graphing Logarithmic Functions With Transformations, Asymptotes, and Domain & Range

This math video tutorial focuses on graphing logarithmic functions with transformations and vertical asymptotes. It also shows you how to graph natural logs by making a data table and plotting points. In addition, it discusses how to write the domain and range using interval notation. This video contains plenty of examples and is useful for ...
YouTube
· Jan 18, 2017
Video thumbnail for Function Transformations: Horizontal and Vertical Stretches and Compressions
09:33
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Function Transformations: Horizontal and Vertical Stretches and Compressions

This video explains to graph graph horizontal and vertical stretches and compressions in the form a*f(b(x-c))+d. This video looks at how a and b affect the graph of f(x). http://mathispower4u.wordpress.com/
YouTube
· Jul 26, 2010
Video thumbnail for Curve Sketching - Graphing Functions Using Derivatives | Calculus
22:02
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Curve Sketching - Graphing Functions Using Derivatives | Calculus

This calculus video tutorial provides a basic introduction into curve sketching. it explains how to graph polynomial functions using the signs of the first derivative and the second derivative of a function. You need to identify the critical numbers and potential inflection points in addition to the concavity of the graph. You need to combine ...
YouTube
· Mar 5, 2018
Video thumbnail for Graphing Derivatives Using Graph of f(x)
10:18
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Graphing Derivatives Using Graph of f(x)

If you enjoyed this video, take 30 seconds and visit https://fireflylectures.com to find hundreds of free, helpful videos. No registration required! Many times you will be given the graph of a function, and will be asked to graph the derivative without having the function written algebraically. Here we give some tips on how to graph the ...
YouTube
· Jan 31, 2013
Video thumbnail for Transformation of Graphs: y=f(x) into y=2f(x+1) - Quick Explanation
02:31
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Transformation of Graphs: y=f(x) into y=2f(x+1) - Quick Explanation

Simple transformation for y=f(x) function.
YouTube
· Oct 2, 2010
Video thumbnail for How to Graph the Equation y = 2x - 1
02:15
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How to Graph the Equation y = 2x - 1

In this video we'll draw the graph for y = 2x -1. You may also see this written as f(x) = 2x - 1. First, we will use a table of values to plot points on the graph. Once we have two or three points, we can draw our line for the linear equation. You can choose any values of x for your table, however, 0, 1, and -1 are often best since they result ...
YouTube
· Jul 19, 2022
Video thumbnail for Translating and reflecting graphs - GCSE Maths
05:10
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Translating and reflecting graphs - GCSE Maths

Learn how to translate graphs, Learn how to reflect graphs, Examples include quadratic, exponential and trigonometric graphs. We hope you gain knowledge and a deeper understanding of this topic by watching this video.
YouTube
· Jun 21, 2020
Video thumbnail for Sketching the graph of 1/f(x), Additional, A Level Maths
04:46
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Sketching the graph of 1/f(x), Additional, A Level Maths

The graph of y =f(x) is sketched below Sketch the graph of y = 1/(𝑓(𝑥))
YouTube
· Nov 19, 2016
Video thumbnail for Graph transformations y=1/f(x)
07:55
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Graph transformations y=1/f(x)

Graph transformations y=1/f(x) Graph transformations y=1/f(x) This video provides a guide as to how you can plot the graph transformation from y=f(x) to y=1/f(x). An example is also provided on how to transform f(x) graph to its reciprocal TAGS:
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· Aug 17, 2021
Video thumbnail for How to Draw the Inverse Function Using the Graph of y = f(x) - What To Know - Worked Example
05:06
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How to Draw the Inverse Function Using the Graph of y = f(x) - What To Know - Worked Example

To draw the inverse function using the graph, or curve, y = f(x) we use two important rules: - the curves of a function and its inverse function are mirror images, or reflections, of each other across the line y = x - if the function's curve, y = f(x), passes through a point (a,b) then the inverse function passes through (b,a). The second rule ...
YouTube
· Feb 24, 2022
Video thumbnail for Trigonometry | Transformations of Trig Graphs - Translation parallel to the y-axis | ExamSolutions
07:10
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Trigonometry | Transformations of Trig Graphs - Translation parallel to the y-axis | ExamSolutions

In this video you are shown how the function y=f(x)+a transforms the graph of y=f(x) as a translation parallel to the y-axis. I demonstrate this on the trigonometric graphs of sine, cosine and tangent. YOUTUBE CHANNEL at https://www.youtube.com/ExamSolutions EXAMSOLUTIONS WEBSITE at https://www.examsolutions.net/ where you will have access to ...
YouTube
· Nov 17, 2018
Video thumbnail for Graph y=2f(x) given graph of f(x). 2 solutions.
08:56
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Graph y=2f(x) given graph of f(x). 2 solutions.

Two solutions: (1) If you know the rules of graph transformation, and (2) if you don't. #vudomath 0:00 The question 0:44 Solve using the rules of graph transformation 4:14 Solving without using graph transformation
YouTube
· Jul 2, 2021
Video thumbnail for Connecting f, f', and f' graphically | AP Calculus AB | Khan Academy
05:36
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Connecting f, f', and f' graphically | AP Calculus AB | Khan Academy

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-analytical-applications-new/ab-5-9/v/connecting-function-and-derivatives-graphically Analyzing three graphs to see which describes the derivative of which other graph. Watch the next lesson ...
YouTube
· Sep 6, 2017
Video thumbnail for The graph of y = f(x) is shown in the figure above. If A1 and A2 are positive numbers that represen…
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The graph of y = f(x) is shown in the figure above. If A1 and A2 are positive numbers that represen…

The graph of y = f(x) is shown in the figure above. If A1 and A2 are positive numbers that represent the areas of the shaded regions, then in terms of A1 and A2, the expression ∫f(x)dx - 2∫f(x)dx is equal to: A1 A1 - A2 2A1 - A2 A1 + A2 A1 + 2A2 Watch the full video at: https://www.numerade.com/ask/question/the-graph-of-y-fxis-shown ...
YouTube
· Nov 15, 2024
Video thumbnail for Ex: Determine the Sign of f(x), f'(x), and f''(x) Given a Point on a Graph
05:30
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Ex: Determine the Sign of f(x), f'(x), and f''(x) Given a Point on a Graph

This video explains how to determine if the function value, first derivative function value, and second derivative function value is positive, negative, or zero. Site: http://mathispower4u.com
YouTube
· Jun 30, 2013