Find the equation of the rational function $y = f(x)$, given that $f$ has a hole at $x = -4$, a vertical asymptote at $x = -7$, horizontal asymptote $y = 0$, and cuts $y$-axis at $y = 2$.
$\bigcirc f(x) = \frac{-14x + 56}{(x - 4)(x - 7)}$
$\bigcirc f(x) = \frac{x + 4}{(x + 4)(x - 7)}$
$\bigcirc f(x) = \frac{2}{x + 7}$
$\bigcirc f(x) = \frac{14x + 56}{(x + 4)(x + 7)}$
$\bigcirc f(x) = \frac{2x + 8}{x + 7}$
$\bigcirc$ None of the above