Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 1 - Section 1.2 - The Rectangular Coordinate System - 1.2 Problem Set - Page 24: 27

Answer

When $h<0$, the vertex of the parabola is on the left side of the $y-$ axis. When $h>0$, the vertex of the parabola is on the right side of the $y-$ axis.

Work Step by Step

For a parabola with the function $y = (x-h)^2$, the vertex lies at $(h,0)$. If $h$ is positive, the parabola is shifted to the right by $h$ units and, if $h$ is negative, the parabola is shifted to the left by $h$ units.
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