# To describe how the graph of the function can be obtained from the graph of f ( x ) = x 3 .

### 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 16E

a.

To determine

Expert Solution

## Answer to Problem 16E

The graph of g(x)=(x4)3 is obtained by shifting the graph of f(x)=x3 to the right 4 units.

### Explanation of Solution

Given information :

The function is g(x)=(x4)3  .

Use the definition of horizontal shifts of graph,

When graph of f(x)=x3 is given, then for function g(x)=(x4)3 , shift the graph of f(x)=x3 to the right 4 units.

b.

To determine

Expert Solution

## Answer to Problem 16E

The graph of g(x)=x34 is obtained by shifting the graph of f(x)=x3 to the downwards 4 units.

### Explanation of Solution

Given information :

The function is g(x)=x34 .

Use the definition of vertical shifts of graph,

When graph of f(x)=x3 is given, then for function g(x)=x34 , shift the graph of f(x)=x3 to the downwards 4 units.

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