Try the following SAT math practice question (No Calculator) that tests your understanding of parabolas and intersections in the $xy-$plane.

$$ h(x) = -2(x-3)^2 + 50 $$

In the $xy-$plane, the graph of the quadratic function $h(x)$ intersects the $x-$axis at the points $(a, 0)$ and $(b, 0)$, where $a$ and $b$ are constants. What is the value of $a+b$?

- $\quad -10$
- $\quad -6$
- $\quad 6$
- $\quad 10$