# The function y = ( x − 3 ) 2 by hand without plotting any points. ### 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 10E
To determine

## To sketch: The function y=(x−3)2 by hand without plotting any points.

Expert Solution

### Explanation of Solution

The standard graph of the function y=x2 is roughly drawn as shown below in Figure 1. From Figure 1, it is observed that the curve y=x2 intersects the x-axis at the point (0,0).

Since the number 3 is subtracted from x in y=(x3)2, shift the graph y=x2 by 3 units to the right.

Thus, the graph of y=(x3)2 is shown below in Figure 2. From Figure 2, it is observed that the curve y=(x3)2 intersects the x-axis at the point (3,0).

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