Answer
$y=-|x-4|+3$
Work Step by Step
We begin with:
$f(x)=|x|$
We are told to reflect in the $x$-axis, shift right 4 units and up 3 units. This means: $y=-f(x-4)+3$. Thus we get:
$y=-|x-4|+3$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
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 - Page 243: 58
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