Answer
shift $f(x)$ 4 units right and 5 units up
Work Step by Step
To obtain $g(x)=(x-2)^2+5$, we take $f(x)=(x+2)^2$ and apply the transformation $g(x)=f(x-4)+5$. That is, we shift $f(x)$ 4 units right and 5 units up.
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 2, Functions - Section 2.6 - Transformations of Functions - 2.6 Exercises - Page 245: 100
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