2012 Cayley Problem 16

The equation y = ax^2 + bx + c was used to create the table of values below:

\begin{array}{c|c|c}x & 0 & 1 \\ \hline y & 8 & 9\end{array}

What is the value of a + b?

\textbf{(A)}\ -2\quad \textbf{(B)}\ 1\quad \textbf{(C)}\ 3\quad \textbf{(D)}\ 5\quad \textbf{(E)}\ -5

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Cayley contests here.