Solve the Problem $y = a x ^ { 2 } + b x + c$

Multiple Choice

Solve the problem.
-You throw a ball straight up from a rooftop. The ball misses the rooftop on its way down and eventually strikes the ground. A mathematical model can be used to describe the relationship for the ball's height
Above the ground, y, after x seconds. Consider the following data:

Find the quadratic function $y = a x ^ { 2 } + b x + c$ whose graph passes through the given points.

A) $y = - 16 x ^ { 2 } + 90 x + 20$
B) $y = - 12 x ^ { 2 } + 90 x + 16$
C) $y = - 16 x ^ { 2 } + 80 x + 30$
D) $y = - 10 x ^ { 2 } + 100 x + 4$