Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 1 - 1.1 - Graphs of Equations - 1.1 Exercises - Page 79: 28


Symmetry with respect to : x-axis = no y-axis = yes origin = no

Work Step by Step

Equation : $y=x^4-x^2+3$ Put -y instead of y, $-y=x^4-x^2+3$ (not symmetric wrt. x axis) Put -x instead of x, $y=(-x)^4-(-x)^2+3=x^4-x^2+3$ same as $y=x^4-x^2+3$ (symmetric wrt. y axis) Put -y instead of y and -x instead of x, $-y=(-x)^4-(-x)^2+3=x^4-x^2+3$ (not symmetric wrt. origin)
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