   Chapter 1.3, Problem 15E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### 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.15. y = x 2 − 4 x + 5

To determine

To sketch: The function y=x2 by hand without plotting any points and then graph of the function y=x24x+5 .

Explanation

It is given that y=x24x+5 .

Express the given function as follows.

y=x24x+5=x24x+4+1=(x2)2+1

Thus, draw the graph of y=(x2)2+1 .

The standard graph of the function y=x2 is roughly drawn as shown below in Figure 1.

Then, draw the graph of y=(x2)2 , shift the graph y=x2 by 2 units to the right

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