9

9. [Maximum mark: 8]

Consider the curve $y = \frac{x - 4}{ax^2 + bx + c}$, where $a, b$ and $c$ are non-zero constants.
The curve has a local minimum point at $(2, 1)$ and a vertical asymptote with equation $x = 1$.
Find the values of $a, b$ and $c$.