Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 8 - Graphing Quadratic Functions - 8.4 - Graphing f(x) = a(x-h)^2 + k - Exercises - Page 448: 79

Answer

No

Work Step by Step

No, because some of them are translated to the left, right, up or down from the parent graph and are no more symmetric to the $y$-axis. Only the following absolute value functions are even: $$y=a|x|$$ An absolute value function $y=a|x+b|+c$ is always symmetrical with respect to the line $x=-b$. The function is even when $b=0$.
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