Answer
$y=(x-2)^{2}+1$
Work Step by Step
Given: $y=x^{2}-4x+5$
Step 1: $y=x^{2}-4x+4+1$
Step 2: $y=(x-2)^{2}+1$
Parent graph: $y=x^{2}$
Transformations: Shift on x-axis +2, y-axis +1
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 1 - Functions and Limits - 1.3 New Functions from Old Functions - 1.3 Exercises - Page 43: 15
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