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: 16

Answer

(a) shift $f(x)$ right 2 units, shrink vertically by a factor of $\frac{1}{3}$, and shift up 5 units. (b) shift $f(x)$ left 1 unit, stretch vertically by a factor of $4$ and shift up 3 units

Work Step by Step

(a) We can obtain $\frac{1}{3}f(x-2)+5$ by shifting $f(x)$ right 2 units, shrinking the graph vertically by a factor of $\frac{1}{3}$ and shifting the graph up 5 units. (b) We can obtain $4f(x+1)+3$ by shifting $f(x)$ left 1 unit, stretching the graph vertically by a factor of $4$ and shifting the graph up 3 units.
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