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 14E

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=f(2x)1 is obtained by shrinking the graph of f by a factor of 12 then shift downward by 1 unit.

Explanation of Solution

Given information:

The function is y=f(2x)1

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

When graph of f is given, then for function y=f(2x)1 , first shrink the graph of y=f(x) horizontally by a factor of 12 , then shift the graph of y=f(2x) downward by 1 unit.

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=2f(12x) is obtained by stretching the graph of y=f(x) horizontally by a factor of 2 , then stretch the graph vertically by a factor of 2 .

Explanation of Solution

Given information:

The function is y=2f(12x)

Use definition of vertical and horizontal stretching of the graph,

When graph of f is given, then for function y=2(f12x) , first stretch the graph of y=f(x) horizontally by a factor of 2 , then stretch the graph vertically by a factor of 2 .

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