Answer
$f(x)=-3(x+2)^{2}+4$
Work Step by Step
The given function: $g(x) = -3x^{2}$
With a maximum value of 4 at x=2.
You have to add both 4 and 2 to the equation to get
$f(x)=-3(x+2)^{2}+4$
College Algebra (6th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-32178-228-3
ISBN 13:
978-0-32178-228-1
Chapter 3 - Polynomial and Rational Functions - Exercise Set 3.1 - Page 344: 53
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