Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 9 - Quadratic Functions and Equations - 9-2 Quadratic Functions - Practice and Problem-Solving Exercises - Page 545: 40


$b$ is divisible by $-2$ and the value of $a$

Work Step by Step

When finding the axis of symmetry, we use the $-b/2a$ formula. If $b$ is divisible by -2, then (where $h = 2b$ and neither $b = 0$ nor $h=0$) $x = -b/2a$ $x = -(-2h)/2a$ $x =2h/2a$ $x= h/a$ For $h/a$ to be an integer, $h$ must be divisible by $a$, and $a\ne0$. Thus, $b$ must be divisible by $a$, and $a\ne0$.
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