Answer
$y=4(x+1)(x-2)$
Work Step by Step
The product form of the parabola is $$y=a(x+1)(x-2).$$ Since $(-2,16)$ is on the curve, $$16=a(-1)(-4)\implies a=4.$$ So $$y=4(x+1)(x-2).$$
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 - Review Exercises and Problems for Chapter Three - Page 129: 16
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