Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 1 - Graphs - 1.2 Graphs of Equations in Two Variables; Intercepts; Symmetry - 1.2 Assess Your Understanding: 5

Answer

y-axis

Work Step by Step

If the point $(x,y)$ is on a graph that is symmetric with respect to the y axis, the point $(-x,y)$ is also on that graph. Thus, if the point $(-x, y)$ is also on the graph of an equation for every point $(x, y)$, then the graph is symmetric with respect to the y-axis.
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