## College Algebra 7th Edition

Published by Brooks Cole

# Chapter 2, Functions - Section 2.6 - Transformations of Functions - 2.6 Exercises - Page 242: 13

#### Answer

(a) reflect $f(x)$ about $x$-axis and shift graph up 5 units (b) stretch $f(x)$ vertically by a factor of $3$ and move graph down 5 units

#### Work Step by Step

(a) We can obtain $-f(x)+5$ by reflecting the graph of $f(x)$ about the $x$-axis and shifting the graph up 5 units. (b) We can obtain $3f(x)-5$ by stretching the graph of $f(x)$ vertically by a factor of 3 and shifting the graph down 5 units.

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