# 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 13E

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(4x) is obtained by shrinking the graph of f by a factor of 14

### Explanation of Solution

Given information:

The function is y=f(4x)

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

When graph of f is given, then for function y=f(4x) , first shrink the graph of y=f(4x) horizontally by a factor of 14

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=f(14x) 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 4 .

### 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=f(14x) , first stretch the graph of y=f(14x) horizontally by a factor of 4

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