The graph above shows $f(x) = \log_{2}(x-4)\text{.}$ Below is $g(x)\text{,}$ which is a horizontal compression of $f\text{.}$ Determine the factor by which $f$ was compressed, and then choose the correct formula for this new graph. Answer: $y =$$2\log_2(x-4)$
$\frac{1}{2}\log_2(x-4)$
$\log_2(2x-4)$
$\log_2\left(\frac{x}{2}-4\right)$