Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.5 The Limit of a Function - 1.5 Exercises - Page 60: 15

Answer

$$y=(x-2)^{2}+1$$
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Work Step by Step

Given $$y=x^{2}-4 x+5$$ \begin{align} y&=x^{2}-4 x+5\\ &=\left(x^{2}-4 x+4\right)+1\\ &=(x-2)^{2}+1 \end{align} begin with the graph of $y=x^{2}$ in Fig.(1), shift $ 2$ units to the right in Fig.(2), and then shift upward $1$ unit in Fig(3).
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