Answer
$y=-(x-2)^2$
Work Step by Step
The vertex is at $(2,0)$, so the function is in the form $$y=a(x-2)^2.$$ For $x=0, y=-4$, so we have $$y=a(0-2)^2=4 a=-4$$ and $a=-1$.
Thus $$y=-(x-2)^2$$ is the function's formula.
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 127: 8
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