College Algebra (6th Edition)

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

Chapter 3 - Polynomial and Rational Functions - Exercise Set 3.5 - Page 407: 52

Answer

please see image .
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Work Step by Step

(Work done in online calculator desmos.com) Let $f(x)=\displaystyle \frac{1}{x^{2}}$ (graph: blue, dashed) $g(x)=\displaystyle \frac{1}{(x+1)^{2}}=f(x+$1$)$ So, the graph of g (red, solid line) is obtained by shifting the graph of $f(x)=\displaystyle \frac{1}{x^{2}}$ to the left by 1 units. (the vertical asymptote also shifts)
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