Question

Sketch a graph of the function. Use transformations of functions whenever possible. f(x)=3x^{2}

Transformations of functions
ANSWERED
asked 2020-10-23
Sketch a graph of the function. Use transformations of functions whenever possible. \(\displaystyle{f{{\left({x}\right)}}}={3}{x}^{{{2}}}\)

Answers (1)

2020-10-24
First graph function \(\displaystyle{y}={x}^{{{2}}}\) Then, to obtain graph of function \(\displaystyle{f{{\left({x}\right)}}}={3}{x}^{{{2}}}\), do following transformations: - stretc vertically by a factor of 3 On graph: Red - \(\displaystyle{y}={x}^{{{2}}}\) Blue - \(\displaystyle{f{{\left({x}\right)}}}={3}{x}^{{{2}}}\) image
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