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

Question
Transformations of functions
asked 2021-01-22
Sketch a graph of the function. Use transformations of functions whenever possible. \(\displaystyle{f{{\left({x}\right)}}}={2}{x}^{{{2}}}\ -\ {1}\)

Answers (1)

2021-01-23
First graph function \(\displaystyle{y}={x}^{{{2}}}\) Then, to obtain graph of function \(\displaystyle{f{{\left({x}\right)}}}={2}{x}^{{{2}}}\ -\ {1},\) do following transformations: -stretch vertically by a factor of 2 - shift 1 unit downward On graph: Red - \(\displaystyle{y}={x}^{{{2}}}\) Blue - \(\displaystyle{f{{\left({x}\right)}}}={2}{x}^{{{2}}}\ -\ {1}\) 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 2020-10-23
Sketch a graph of the function. Use transformations of functions whenever possible. \(\displaystyle{f{{\left({x}\right)}}}={3}{x}^{{{2}}}\)
asked 2021-03-18
Sketch a graph of the function. Use transformations of functions whenever possible. \(\displaystyle{f{{\left({x}\right)}}}=-{\left({x}-{1}\right)}^{{{4}}}\)
asked 2020-11-09
Sketch a graph of the function. Use transformations of functions whenever possible. \(\displaystyle{f{{\left({x}\right)}}}=\ {\frac{{{1}}}{{{\left({x}\ -\ {1}\right)}^{{{3}}}}}}\)
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 2020-12-01
Sketch a graph of the function. Use transformations of functions when ever possible.
\(\displaystyle{f{{\left({x}\right)}}}={2}{x}^{{{2}}}-{1}\)
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 2021-01-02
Sketch a graph of the function. Use transformations of functions when ever possible. \(\displaystyle{f{{\left({x}\right)}}}=\ -{\frac{{{1}}}{{{x}^{{{2}}}}}}\)
asked 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 2021-02-05
Sketch a graph of the function. Use transformations of functions when ever possible. \(\displaystyle{f{{\left({x}\right)}}}={1}\ -\ \sqrt{{{x}\ +\ {2}}}\)
...