College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Functions and Graphs - Exercise Set 2.5 - Page 283: 91


please see image

Work Step by Step

$f(x)=|x|$ (Using we graph f(x) (blue dashed graph). By hand, plot the points (-2,2), (-1,1), (0,0), (1,1), (2,2) and the two rays which make the graph of f. $h(x)=2f(x+4),$ so the graph of $g$ (solid red line) is obtained from the graph of f by 1. shifting it left by $4$ units, (black, dashed) and then , 2. vertically stretch by factor 2 (solid red line) Using the above points, $(x,f(x))$ plot $(x-4$, $2f(x))$ and join.
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