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: 34

Answer

$y=\frac{1}{(x+2)^2}-1$ $\:$ $ $
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Work Step by Step

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