Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Section 3.6 - Graphing Piecewise-Defined Functions and Shifting and reflecting Graphs of Functions - Exercise Set - Page 183: 42

Answer

see graph

Work Step by Step

The black graph is the parent graph, $ f(x)=x^2 .$ The red graph is the graph of $ f(x)=-(x+2)^2 .$ It is the result of shifting the points of the parent graph $ 2 $ unit to the left and then reflecting about the $y-$axis.
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