Answer
$y=(x+1)(x-3)$
Work Step by Step
The function has zeros at $x=-1$ and $x=3$, and is in the form $y=a(x+1)(x-3)$.
Since $y=-3$ when $x=0$, we know that $y=a(0+1)(0-3)=-3 a=-3$, so $a=1$.
Thus $y=(x+1)(x-3)$ 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: 6
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