'Vertical stretch' presentation slideshows

11 College Math

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Functions and equations

Functions and equations. Mr. Thauvette DP SL Mathematics. Graphs of Functions. The x -intercepts of a function are the values of x for which y = 0. They are the zeros (i.e., solutions, roots) of the function. The y -intercept of a function is the value of y when x = 0.

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Transformations

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SECTION 1.5

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Shifts & Types of Functions Review

Shifts & Types of Functions Review. Consider the function g(x) = |x + 3| -5. What transformations change the parent function f(x) = |x| to g(x)?. Right 3, Up 5 Right 3, Down 5 Left 3, Up 5 Left 3, Down 5. [Default] [MC Any] [MC All].

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Absolute Value Functions and Graphs

Absolute Value Functions and Graphs. Objective: G raph an absolute value function by performing transformations on the parent function f ( x ) = | x |. Vocabulary. The function f(x) = |x| is an absolute value function .

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Transformation of Functions

Transformation of Functions . Section 1.6. Objectives. Describe a transformed function given by an equation in words. Given a transformed common function, write the transformed function's equation. . Vocabulary. common function horizontal shift vertical shift vertical stretch/shrink

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Graphical Exponential Functions

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Exponential Functions

Exponential Functions. L. Waihman 2002. A function that can be expressed in the form and is positive , is called an Exponential Function. Exponential Functions with positive values of x are increasing, one-to-one functions.

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Chapter 1: Functions and Graphs

Chapter 1: Functions and Graphs. Section 1-6: Graphical Transformations. Objectives. You will learn about: Transformations Horizontal and Vertical Translations Reflections Across Axes Vertical and Horizontal Stretches and Shrinks Combining Transformations Why:

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Radical Functions and Equations

Radical Functions and Equations. radical. index. radicand. L. Waihman 2002. A radical function is a function that has a variable in the radicand. You can apply the same transformations to the graphs of radical functions as you can to polynomial functions.

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3B Transformations of Exponential Functions

3B Transformations of Exponential Functions. Vertical Translation. f ( x ) = c x + k. Given the graph of f ( x ) = 2 x. Sketch the graph of g ( x ) = 2 x + 3. Shifts the graph up if k > 0. The graph of f ( x ) moves upward 3 units. ( x , y ) ? ( x , y + k ) (0, 1) ? (0 , 4).

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Section 5.2: Derivative of the General Exponential Function, y = b x

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2.2 b Writing equations in vertex form

2.2 b Writing equations in vertex form. Because the vertex is translated h horizontal units and k vertical from the origin, the vertex of the parabola is at ( h , k ). Hint: Vertical stretch makes the parabola skinnier. Vertical compression makes the parabola wider. Remember!

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1.4 Transformations

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Practice Graphing Transformations

Practice Graphing Transformations. Transformations: - Reflected over the x-axis - Up 2 - Right 2. Transformations: - Reflected over the x-axis - Up 3 - Right 1. Transformations: - Down 9. Transformations: - Reflected over the x-axis - Vertical Stretch - Up 2 - Right 5.

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Section 1.3

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Transforming Parabolas

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Factoring to Solve Equations

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