# 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 6E

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(x+7) is obtained by shrinking the graph of f then move the graph left by 7 unit

### Explanation of Solution

Given information:

The function is y=f(x+7)

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

When graph of f is given, then for function y=f(x+7) , first shrink the graph of y=f(x) , then shift the graph of y=f(x+7) by 7 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=f(x)+7 is obtained by stretching the graph of y=f(x)+7 shift the graph up by 7 unit

### Explanation of Solution

Given information:

The function is y=f(x)+7

Use definition of vertical and horizontal stretching of the graph,

The 7 means all the y values will be 7 more than originally in f(x)

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