To describe how the graph of the function can be obtained from the graph of f .

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2.5, Problem 8E

a.

To determine

To describe how the graph of the function can be obtained from the graph of f .

Expert Solution

The graph of y=2f(x) is flip the graph around the x-axis

Explanation of Solution

Given information:

The function is y=2f(x)

Use definition of vertical shifting and horizontal shrinking of the graph,

When graph of f is given, then for function y=2f(x) , that for all x and y value is negative what is normally would be flipped over x-axis

b.

To determine

To describe how the graph of the function can be obtained from the graph of f .

Expert Solution

The graph of y=12f(x) is flip the graph around the y-axis

Explanation of Solution

Given information:

The function is y=12f(x)

Use definition of vertical and horizontal stretching of the graph,

When graph of f is given, then for function y=12f(x) , that for all x and y value is negative what is normally would be flipped over y-axis

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