Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 4 - Quadratic Functions - 4.2 Graphing Quadratics in Vertex Form - 4.2 Exercises - Page 316: 2

Answer

$a<0$

Work Step by Step

Givenb$$\begin{aligned} f(x) &= a(x-h)^2+ k. \end{aligned}$$ The constant, $a$, is responsible for opening the graph of a parabola upward or downward. It must be negative to open the graph of a parabola downward.
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