Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 2 - Nonlinear Functions - 2.2 Quadratic Functions; Translation and Reflection - 2.2 Exercises - Page 64: 28



Work Step by Step

Use the table on page 62 (Translations and Reflections) ---------- If $f(x)=\sqrt{x}$, with whose graph we are familiar, then $y=\sqrt{-x-2}-4=\sqrt{-(x+2)}-4-4$ $=f[-(x+2)]-4,$ whose graph is obtained by 1. reflecting the graph of f(x) about the y axis, then, 2. translating left by 2 units, and then 3. translating down by 4 units. (graph B)
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