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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Chapter
Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions given in Section 1.2, and then applying the appropriate transformations.

10. y = ( x 3 ) 2

To determine

To sketch: The function y=(x3)2 by hand without plotting any points.

Explanation

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

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