Sketch a graph of the function. Use transformations of functions

CoormaBak9 2021-08-14 Answered
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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Expert Answer

firmablogF
Answered 2021-08-15 Author has 9156 answers
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
image
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