# The function y = | x | by hand without plotting any points and then graph the function y = | x − 2 | .

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 1.3, Problem 21E
To determine

## To sketch: The function y=|x| by hand without plotting any points and then graph the function y=|x−2|.

Expert Solution

### Explanation of Solution

The standard graph of the function y=|x| is roughly drawn as shown below in Figure 1.

Then, draw the graph of y=|x2| by shifting the graph y=|x| by 2 units to the right. Thus, the graph of y=|x2| is shown below in Figure 2.

Observe that, Figure 2 is obtained from Figure 1 by shifting 2 units to the right.

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