Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.7 Graphing Techniques - 2.7 Exercises - Page 274: 39

Answer

(a) $ (5,3)$ (b) $ (-5,-3)$ (c) $(-5,3)$

Work Step by Step

(a) A point symmetric with respect to the x-axis means $(x,y)\to (x,-y)$, thus $(5,-3)\to (5,3)$ (b) A point symmetric with respect to the y-axis means $(x,y)\to (-x,y)$, thus $(5,-3)\to (-5,-3)$ (c) A point symmetric with respect to the origin means $(x,y)\to (-x,-y)$, thus $(5,-3)\to (-5,3)$
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