Intermediate Algebra: Connecting Concepts through Application

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

Chapter 1-8 - Cumulative Review - Page 680: 84

Answer

$a<0$

Work Step by Step

The equation of a parabola is $$y=ax^2+bx+c=a(x-h)^2+k.$$ A parabola that opens downward has the value of $a$ to be negative, while a parabola that opens upward has the value of $a$ to be positive. In our case the parabola opens downward, therefore $a<0$.
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