# Sketch a graph of the function. Use transformations of functions when ever possible. f(x)= -frac{1}{x^{2}}

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

2021-01-03
Shown is graph of $$\displaystyle{f{{\left({x}\right)}}}=\ -{\frac{{{1}}}{{{x}^{{{2}}}}}}$$ x is on the horizontal axis and $$\displaystyle{y}={f{{\left({x}\right)}}}$$ is on the vertical axis.

### Relevant Questions

Sketch a graph of the function. Use transformations of functions when ever possible. $$\displaystyle{f{{\left({x}\right)}}}=\ {\frac{{{1}}}{{{3}}}}{\left({x}\ -\ {5}\right)},\ {2}\ \leq\ {x}\ \leq\ {8}$$
Sketch a graph of the function. Use transformations of functions when ever possible. $$\displaystyle{f{{\left({x}\right)}}}=\ -{\frac{{{1}}}{{{4}}}}{x}^{{{2}}}$$
Sketch a graph of the function. Use transformations of functions when ever possible. $$\displaystyle{f{{\left({x}\right)}}}=\ {\frac{{{1}}}{{{\left({x}\ -\ {1}\right)}^{{{3}}}}}}$$
Sketch a graph of the function. Use transformations of functions when ever possible.
$$\displaystyle{f{{\left({x}\right)}}}={2}{x}^{{{2}}}-{1}$$
Sketch a graph of the function. Use transformations of functions when ever possible. $$\displaystyle{f{{\left({x}\right)}}}={1}\ -\ \sqrt{{{x}\ +\ {2}}}$$
Sketch a graph of the function. Use transformations of functions when ever possible.
$$\displaystyle{f{{\left({x}\right)}}}={\left|{x}+{1}\right|}$$
Sketch a graph of the function. Use transformations of functions when ever possible. $$\displaystyle{f{{\left({x}\right)}}}=\sqrt{{{3}}}{\left\lbrace-{x}\right\rbrace}$$
g is related to one of the six parent functions. (a) Identify the parent function f. (b) Describe the sequence of transformations from f to g. (c) Sketch the graph of g by hand. (d) Use function notation to write g in terms of the parent function f.$$\displaystyle{g{{\left({x}\right)}}}={\frac{{{1}}}{{{3}}}}{\left({x}-{2}\right)}^{{{3}}}$$
$$\displaystyle{g{{\left({x}\right)}}}=\ -{2}{\left|{x}\ -\ {1}\right|}\ -\ {4}$$
Sketch a graph of the function. Use transformations of functions whenever possible. $$\displaystyle{f{{\left({x}\right)}}}=\ {\frac{{{1}}}{{{\left({x}\ -\ {1}\right)}^{{{3}}}}}}$$