## Calculus 10th Edition

Published by Brooks Cole

# Chapter P - P.1 - Graphs and Models - Exercises - Page 8: 28

No symmetry

#### Work Step by Step

Substitute -x for x. If equation is equivalent, graph is symmetric to y-axis. $(−x)^{2}$-(-x)= $x^{2}$+x Equations are not equivalent, so not symmetric to y-axis. Substitute -y for y. If equation is equivalent, graph is symmetric to x-axis. -y=$x^{2}$-x y=-$x^{2}$+x Equations are not equivalent, so not symmetric to x-axis. Substitute -y for y and -x for x. If equation is equivalent, graph is symmetric to origin. -y=$(-x)^{2}$-(-x) y=-$x^{2}$-x Equations are not equivalent, so not symmetric to origin.

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