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

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