# Chapter 1 - Section 1.2 - Combining Functions; Shifting and Scaling Graphs - Exercises - Page 20: 34

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

#### 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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