The function f(x)=logx is transformed into the equation f(x)=log(1/4x). select from the drop-down menus to correctly identify the parameter and the effect the parameter has on the parent function. the function f(x)=log(1/4x) is a.. (horizontal stretch or horizontal compression) of the parent function by a factor of.. (0.25 or 1 or 4)

Given the parent function:

Rule for Horizontal Stretches and Compression:

If parent function y=f(x), then y=f(cx) gives a horizontal stretch when  c >1 and

a horizontal compression when 0<c<1.

therefore, by above definition

the function f(x) = is a Horizontal compression by a factor of

therefore, the function  f(x) = is HORIZONTAL COMPRESSION of the parent function by a factor of 0.25