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

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