Question

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

Answer 1

Given the absolute value parent function below

`f(x)=|x|`

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

`g(x)=(1)/(4)f(x)`

Where

`\begin{gathered} f(x)=|x| \\ g(x)=(1)/(4)|x| \end{gathered}`

Hence, the answer is

`g(x)=(1)/(4)\lvert x\rvert`

Option A