Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter P - Review Exercises - Page 37: 5

Answer

The graph is NOT symmetrical about the x - axis. The graph is NOT symmetrical about the y - axis. The graph is NOT symmetrical about the origin.

Work Step by Step

y = $x^{2}$ + 4x Replacing the x with -x changes the equation,so the graph is not symmetrical about the y-axis. Replacing the x with -y changes the equation,so the graph is not symmetrical about the x-axis. Replacing the x,y with -x, -y changes the equation,so the graph is not symmetrical about the origin. The graph confirms our conclusion.
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