# 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 9E

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)+5 is reflect in the x-axis , then shift upwards 5 times

### Explanation of Solution

Given information:

The function is y=f(x)+5

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

When graph of f is given, then for function y=f(x)+5 , f(x) reflects f(x) in x-axis +5 shifts it vertically upward by +5 times

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=3f(x)5 is stretch vertically by a factor of 3 then shift downward 5 units

### Explanation of Solution

Given information:

The function is y=3f(x)5

Use definition of vertical and horizontal stretching of the graph,

When graph of f is given, then for function y=3f(x)5 , here 3f(x) vertically shrinking by a factor 3 and 5 shifts it vertically downward by 5 units

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