Answer
$y=-|x+3|-4$.
Work Step by Step
Start from $y=|x|$, we have:
(a) Shift left 3 units will give $y=|x+3|$.
(b) Reflect about the x-axis will give $y=-|x+3|$.
(c) Shift down 4 units will give $y=-|x+3|-4$.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 5 - Trigonometric Functions - Section 5.1 Angles and Their Measures - 5.1 Assess Your Understanding - Page 389: 136
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