# The appropriate axis of the graph for y = − f ( x ) from the graph of y = f ( x ) . ### 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 3E

(a)

To determine

## To fill: The appropriate axis of the graph for y=−f(x) from the graph of y=f(x) .

Expert Solution

The graph of y=f(x) is obtained from the graph of y=f(x) by reflecting in the xaxis .

### Explanation of Solution

The y coordinate of each point on the graph of y=f(x) is negative of the y coordinate of the corresponding point on the graph of y=f(x) .

Hence, the graph of y=f(x) is obtained from the graph of y=f(x) by reflecting in the xaxis .

(b)

To determine

### To fill: The appropriate axis of the graph for y=f(−x) from the graph of y=f(x) .

Expert Solution

The graph of y=f(x) is obtained from the graph of y=f(x) by reflecting in the yaxis .

### Explanation of Solution

The y coordinate of each point on the graph of y=f(x) is same of the y coordinate of the corresponding point on the graph of y=f(x) .

Hence, the graph of y=f(x) is obtained from the graph of y=f(x) by reflecting in the yaxis .

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