Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.6 - Transformations of Functions - 2.6 Exercises - Page 208: 77

Answer

Graphing as instructed, we see that the graph of (b) is obtained by shifting the graph of (a) 5 units to the left. Vertically stretching by factor 2 gives graph (c), and shifting 4 units up produces graph (d).

Work Step by Step

Taking (a) $y=f(x)=x^{1/4},$ we find that (b) $y=f(x+5),$ (c) $y=2f(x+5)$ (d) $y=2f(x+5)+4$
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