Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 1 - Functions - 1.2 Representing Functions - 1.2 Exercises - Page 24: 47

Answer

Shift 2 units to the right, then one unit up

Work Step by Step

We are given the function: $f(x)=(x-2)^2+1$ We start with the parent function $p(x)=x^2$. First shift $p(x)$ by 2 units to the right to get the function $g(x)=(x-2)^2$. Then shift the function $g(x)$ one unit up to get the function $f(x)=(x-2)^2+1$. Graph all transformations:
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