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

BuyFind

### Precalculus: Mathematics for Calcu...

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

### Precalculus: Mathematics for Calcu...

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

#### Solutions

Chapter 2.5, Problem 12E

a.

To determine

Expert Solution

## Answer to Problem 12E

The graph of y=32f(x) is obtained by shrinking the graph of f the shift 2 left and 2 down the graph will be twice smaller

### Explanation of Solution

Given information:

The function is y=32f(x)

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

When graph of f is given, then for function y=32f(x) , is obtained by shrinking the graph of f the shift 2 left and 2 down the graph will be twice smaller

b.

To determine

Expert Solution

## Answer to Problem 12E

The graph of y=2f(x) is obtained by stretching the graph of y=2 then shift 2 right and 2 upward and the graph will be twice smaller

### Explanation of Solution

Given information:

The function is y=2f(x)

Use definition of vertical and horizontal stretching of the graph,

When graph of f is given, then for function y=2f(x) , is obtained by stretching the graph of y=2 then shift 2 right and 2 upward and the graph will be twice smaller

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