if you vertically compress the absolute value parent function f(x)=|x| by a factor of 3 what is the equation of the new function

Answer:The equation for new function is [tex]y=\frac{1}{3}|x|[/tex]Step-by-step explanation:We have been given the absolute value parent function f(x) = |x| and this function is vertically compressed by a factor 3.If we multiply the function with a constant (say a) then the parent function will get stretch/compressed vertically.We have below conditions for vertical stretch and compression.a > 1 => vertically stretch0 < a < 1 => vertically compressionHence, in order to vertical compression by a factor 3, we have to multiply the whole function by 1/3Therefore, the equation for new function is [tex]y=\frac{1}{3}|x|[/tex]