Sketch a graph of the function. Use transformations of functions whenever possible. f(x)= frac{1}{(x - 1)^{3}}

Question
Transformations of functions
asked 2020-11-09
Sketch a graph of the function. Use transformations of functions whenever possible. \(\displaystyle{f{{\left({x}\right)}}}=\ {\frac{{{1}}}{{{\left({x}\ -\ {1}\right)}^{{{3}}}}}}\)

Answers (1)

2020-11-10
Step 1 First graph function \(\displaystyle{y}=\ {\frac{{{1}}}{{{x}^{{3}}}}}.\) Then, to obtain graph of function \(\displaystyle{f{{\left({x}\right)}}}=\ {\frac{{{1}}}{{{\left({x}\ -\ {z}\right)}^{{{3}}}}}}\), do following transfromations: - shift 1 unit to the right. On graph: Red: \(\displaystyle{y}=\ {\frac{{{1}}}{{{x}^{{{3}}}}}}\) Blue: \(\displaystyle{f{{\left({x}\right)}}}=\ {\frac{{{1}}}{{{\left({x}\ -\ {1}\right)}^{{{3}}}}}}\) Step 2 image
0

Relevant Questions

asked 2021-02-12
Sketch a graph of the function. Use transformations of functions whenever possible. \(\displaystyle{f{{\left({x}\right)}}}={1}-\sqrt{{{x}}}+{2}\)
asked 2021-03-18
Sketch a graph of the function. Use transformations of functions whenever possible. \(\displaystyle{f{{\left({x}\right)}}}=-{\left({x}-{1}\right)}^{{{4}}}\)
asked 2021-01-22
Sketch a graph of the function. Use transformations of functions whenever possible. \(\displaystyle{f{{\left({x}\right)}}}={2}{x}^{{{2}}}\ -\ {1}\)
asked 2020-12-22
Sketch a graph of the function. Use transformations of functions whenever possible. \(\displaystyle{f{{\left({x}\right)}}}={\left|{x}\ +\ {1}\right|}\)
asked 2020-10-23
Sketch a graph of the function. Use transformations of functions whenever possible. \(\displaystyle{f{{\left({x}\right)}}}={3}{x}^{{{2}}}\)
asked 2021-01-16
Sketch a graph of the function. Use transformations of functions when ever possible. \(\displaystyle{f{{\left({x}\right)}}}=\sqrt{{{3}}}{\left\lbrace-{x}\right\rbrace}\)
asked 2021-02-25
Sketch a graph of the function. Use transformations of functions when ever possible. \(\displaystyle{f{{\left({x}\right)}}}=\ {\frac{{{1}}}{{{3}}}}{\left({x}\ -\ {5}\right)},\ {2}\ \leq\ {x}\ \leq\ {8}\)
asked 2021-02-03
Sketch a graph of the function. Use transformations of functions when ever possible. \(\displaystyle{f{{\left({x}\right)}}}=\ {\frac{{{1}}}{{{\left({x}\ -\ {1}\right)}^{{{3}}}}}}\)
asked 2021-01-02
Sketch a graph of the function. Use transformations of functions when ever possible. \(\displaystyle{f{{\left({x}\right)}}}=\ -{\frac{{{1}}}{{{x}^{{{2}}}}}}\)
asked 2020-12-07
Sketch a graph of the function. Use transformations of functions when ever possible. \(\displaystyle{f{{\left({x}\right)}}}=\ -{\frac{{{1}}}{{{4}}}}{x}^{{{2}}}\)
...