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: 69

Answer

(a) graph 3 (b) graph 1 (c) graph 2 (d) graph 4

Work Step by Step

(a) $y=f(x-4)$ is $f(x)$ shifted right 4 units, so this matches graph 3. (b) $y=f(x)+3$ is $f(x)$ shifted up 3 units, so this matches graph 1. (c) $y=2f(x+6)$ is $f(x)$ vertically stretched by 2 and moved left by 6 units, so this matches graph 2. (d) $y=-f(2x)$ is $f(x)$ reflected around the $x$-axis and shrunk horizontally by a factor of 2, so this matches graph 4.
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