2011 Fermat Problem 12

In the diagram, the parabola has x-intercepts -1 and 4, and y-intercept 8. If the parabola passes through the point (3, w), what is the value of w?

\textbf{(A)}\ 4\quad \textbf{(B)}\ 5\quad \textbf{(C)}\ 6\quad \textbf{(D)}\ 7\quad \textbf{(E)}\ 8

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