# To sketch the graph of the function. ### 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 64E

a.

To determine

## To sketch the graph of the function.

Expert Solution

### Explanation of Solution

Given information:

The function is y=g(x) Graph :

the graph obtained as: Interpretation: from the above graph it is observed that when y=g(x) is given, the graph of the function y=g(x+1) is obtained by shifting the graph of y=g(x) to the left1 unit.

b.

To determine

Expert Solution

### Explanation of Solution

Given information:

The function is y=g(x) Graph :

The graph obtained as: Interpretation: from the above graph it is observed that when y=g(x) is given, the graph of the function y=g(x) is obtained by symmetric the graph of y=g(x) about the y -axis.

c.

To determine

Expert Solution

### Explanation of Solution

Given information:

The function is y=g(x) Graph :

The graph obtained as: Interpretation: from the above graph it is observed that when y=g(x) is given, the graph of the function y=g(x2) is obtained by shifting the graph of y=g(x) to the right 2 units.

d.

To determine

Expert Solution

### Explanation of Solution

Given information:

The function is y=g(x) Graph :

The graph obtained as: Interpretation: from the above graph it is observed that when y=g(x) is given, the graph of the function y=g(x)2 is obtained by shifting the graph of y=g(x) downwards 2 units.

f.

To determine

Expert Solution

### Explanation of Solution

Given information:

The function is y=g(x) Graph :

The graph obtained as: Interpretation: from the above graph it is observed that when y=g(x) is given, the graph of the function y=g(x) is obtained by reflecting the graph of y=g(x) in the x -axis .

e.

To determine

Expert Solution

### Explanation of Solution

Given information:

The function is y=g(x) Graph :

The graph obtained as: Interpretation: from the above graph it is observed that when y=g(x) is given, the graph of the function y=2g(x) is obtained by vertically stretching the graph of y=g(x) by the factor of 2.

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