Question

The function f(x)=logx is transformed into the equation f(x)=log(1/4x).

Answer 1

Answer:

Given the parent function: $f(x) =\log x$

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) = $\log(\frac{1}{4}x)$ is a Horizontal compression by a factor of $c =\frac{1}{4} = 0.25$

therefore, the function  f(x) = $\log(\frac{1}{4}x)$ is HORIZONTAL COMPRESSION of the parent function by a factor of 0.25