# Sketch a graph of the function. Use transformations of functions

Sketch a graph of the function. Use transformations of functions whenever possible. $$\displaystyle{f{{\left({x}\right)}}}=-{\frac{{{1}}}{{{x}^{{{2}}}}}}$$

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Step 1
First graph function $$\displaystyle{y}={\frac{{{1}}}{{{x}^{{{2}}}}}}$$
Then, to obtain graph of function $$\displaystyle{f{{\left({x}\right)}}}=-{\frac{{{1}}}{{{x}^{{{2}}}}}}$$, do following transformations:
-reflect with respect to x-axis
On graph:
Red -$$\displaystyle{y}={\frac{{{1}}}{{{x}^{{{2}}}}}}$$
Blue - $$\displaystyle{f{{\left({x}\right)}}}=-{\frac{{{1}}}{{{x}^{{{2}}}}}}$$
Step 2