College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 2 - Section 2.2 - Graphs of Equations in Two Variables; Intercepts; Symmetry - 2.2 Assess Your Understanding: 6

Answer

$4$

Work Step by Step

RECALL: The graph of an equation that is symmetric with respect to the y-axis has the following property: If the point $(a, b) $ is on the graph of the equation, the point $(-a, b)$ is also on the graph of the equation. Thus, if the graph of an equation that is symmetric with respect to the y-axis contains the point $(-4, 0)$ (x-intercept is $-4$), then its graph also contains the point $(4, 0)$. Thus, $4$ is also an x-intercept of the graph.
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