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: 7

Answer

C

Work Step by Step

Use the table on page 62 (Translations and Reflections) ---------- If $f(x)=x^{2}$, with whose graph we are familiar, then $y=-(-x+3)^{2}+2=-(x-3)^{2}+2=-f(x-3)+2,$ whose graph is obtained by 1. translating the graph of f(x) right by 3 units. then, 2. reflecting it across the x-axis, and then 3. translating up by 2 units. (graph C)
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