Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Review Exercises - Page 431: 69

Answer

See graph and explanations.
1582897121

Work Step by Step

Step 1. Graph the function $f(x)=\frac{1}{x^2}$ as shown in the figure with the blue curve. Step 2. We can identify that the function has an axis of symmetry around $x=0$ and a horizontal asymptote of $y=0$. Step 3. To get the graph of the function $f(x)=\frac{1}{(x+2)^2}-1$, shift the original 2 units to the left and then shift the result down 1 unit as shown with the read curve. Step 4. We can see that the final curve has an axis of symmetry around $x=-2$ and a horizontal asymptote of $y=-1$.
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