College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.6 - Transformations of Functions - 2.6 Exercises: 18

Answer

(a) shrink $f(x)$ horizontally by a factor of $\frac{1}{2}$ and shift down 1 unit (b) stretch $f(x)$ horizontally by a factor of 2 and stretch vertically by a factor of 2

Work Step by Step

(a) We can obtain $f(2x)-1$ by shrinking $f(x)$ horizontally by a factor of $\frac{1}{2}$ and shifting the graph down 1 unit. (b) We can obtain $2f(\frac{1}{2}x)$ by stretching $f(x)$ horizontally by a factor of 2 and stretching the graph vertically by a factor of 2.
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