University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 1 - Section 1.2 - Combining Functions; Shifting and Scaling Graphs - Exercises - Page 20: 32

Answer

$y=\frac{1}{2}x$ $\:$ $ $
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Work Step by Step

$y=\frac{1}{2}(x+1)+5$ Moving the graph down by $\ 5\ $ units will change the $\ y\ \rightarrow\ y+5$. And moving it to the right by $\ 1 \ $ unit will change the $\ x\ \rightarrow\ x-1.$ So the equation of the shifted graph would be: $y+5=\frac{1}{2}((x-1)+1)+5$ $y=\frac{1}{2}(x-1+1)$ $y=\frac{1}{2}x$
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