Rational Expressions & Functions · Superchallenge problem

A rational function $f(x) = \dfrac{ax^2 + bx + c}{x^2 + dx + e}$ has vertical asymptotes $x = 1$ and $x = -3$ and horizontal asymptote $y = 2$. Its graph has an $x$-intercept at $x = 3$ and crosses its horizontal asymptote at $x = 5$. Find $f(0)$.