# To write how the graph of y = f ( x − 3 ) + 2 obtained from 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, Problem 7T

a.

To determine

## To write how the graph of y=f(x−3)+2 obtained from graph of f.

Expert Solution

First shift the graph of f right by 3 units and then move it 2 units upwards.

### Explanation of Solution

Given:

The graph of f is given.

The expression of y is given = y=f(x3)+2 .

Concept Used:

The concept of graphing of functions is used.

First, 3 is subtracted from x, so firstly move the graph to right by 3 units. Then, 2 is added to the function so, then move the graph upwards by 2 units.

Conclusion:

So, the answer is first shift the graph of f right by 3 units and then move it 2 units upwards.

b.

To determine

### To write how the graph of y=f(−x) obtained from graph of f.

Expert Solution

Reflect the graph in y axis.

### Explanation of Solution

Given:

The graph of f is given.

The expression of y is given = y=f(x) .

Concept Used:

The concept of graphing of functions is used.

The negative of x is given to the function f(x), so reflect the graph to y - axis.

Conclusion:

So, the answer is reflect the graph to y-axis.

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