Answer
$g(x)=(x-2)^2-1$
Work Step by Step
The graph of $g$ is the graph of $f$ shifted to the right 2 units and down 1 unit, so a formula for $g$ in term of $f$ is $g(x)=f(x-2)-1$. Since $f(x)=x^2$, we have $g(x)=(x-2)^2-1$.
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 3 - Quadratic Functions - 3.2 The Vertex of a Parabola - Exercises and Problems for Section 3.2 - Exercises and Problems - Page 128: 39
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