AHSME 1962 Problem 19

If the parabola $y = ax^2 + bx + c$ passes through the points $( - 1, 12)$, $(0, 5)$, and $(2, - 3)$, the value of $a + b + c$ is: $\textbf{(A)}\ -4 \textbf{(B)}\ -2 \textbf{(C)}\ 0 \textbf{(D)}\ 1 \textbf{(E)}\ 2$