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If you vertically compress the absolute value parent function, f(x) = Ixl, by afactor of 4, what is the equation of the new function?A. g(x)=xB. g(x) = 4xC. g(x) = 14x1D. g(x) = |x-41

If you vertically compress the absolute value parent function fx Ixl by afactor of 4 what is the equation of the new functionA gxxB gx 4xC gx 14x1D gx x41 class=

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Solution:

Given the absolute value parent function below

[tex]f(x)=|x|[/tex]

If the function is vertically compressed by a factor of 4, the function becomes

[tex]g(x)=\frac{1}{4}f(x)[/tex]

Where

[tex]\begin{gathered} f(x)=|x| \\ g(x)=\frac{1}{4}|x| \end{gathered}[/tex]

Hence, the answer is

[tex]g(x)=\frac{1}{4}\lvert x\rvert[/tex]

Option A

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