Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.1 Quadratic Functions in Standard Form - 4.1 Exercises - Skill Practice - Page 241: 53

Answer

See below

Work Step by Step

They share the same y value at two points $(2,3)$ and $(-4,3)$. Because the axis of symmetry divides the parabola into mirror images, $(2,3)$ is the mirror image of $(-4,3)$ with respect to the mirror, and the two points are at the same distance from the mirror. Hence, the mirror is $x=\frac{2+(-4)}{2}=-1$
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