A parabola has equation $y=a x^{2}+b x+c$ and passes through the points $(-3,50),(-1,20)$ and $(1,2)$. Determine the value of $a+b+c$.
Since $(1,2)$ lies on the parabola with equation $y=a x^{2}+b x+c$, then the coordinates of the point satisfy the equation of the parabola.

Thus, $2=a\left(1^{2}\right)+b(1)+c$ or $a+b+c=2$.

ANSWER: 2