# 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 11E

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+1)3 is obtained by shifted 4 right and 0.75 upward

### Explanation of Solution

Given information:

The function is y=2f(x+1)3

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

When graph of f is given, then for function y=2f(x+1)3 , obtained by shifted 4 right and 0.75 upward

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(x1)+3 is obtained by shifted 4 left and 0.75 downward

### Explanation of Solution

Given information:

The function is y=2f(x1)+3

Use definition of vertical and horizontal stretching of the graph,

When graph of f is given, then for function y=2f(x1)+3 , is obtained by shifted 4 left and 0.75 downward

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