Find domain and vertical asymptote of $LaTeX: \displaystyle f(x) = \ln{\left(x + 8 \right)} - 4$

The base function $LaTeX: \displaystyle \ln(x)$ has vertical asymptote $LaTeX: \displaystyle x =0$ and domain $LaTeX: \displaystyle (0, \infty)$ . $LaTeX: \displaystyle f(x)$ is shifted 8 units left and 4 units down. This gives the vertical asymptote as $LaTeX: \displaystyle x = -8$ and the domain as $LaTeX: \displaystyle (-8, \infty)$