Solve Problems Using Systems in Three Variables
-You Throw a Ball

Multiple Choice

Solve Problems Using Systems in Three Variables
-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: $$\begin{array} { c | c } \begin{array} { c } x , \text { seconds after } \\\text { ball is thrown }\end{array} & \begin{array} { l } y , \text { ball's height, in feet, } \\\text { above the ground }\end{array} \\\hline 1 & 84 \\2 & 116 \\4 & 84\end{array}$$ Find the quadratic function $y = a x ^ { 2 } + b x + c$ whose graph passes through the given points.

A) $y = - 16 x ^ { 2 } + 80 x + 20$
B) $y = - 12 x ^ { 2 } + 80 x + 16$
C) $y = - 16 x ^ { 2 } + 100 x + 0$
D) $y = - 10 x ^ { 2 } + 60 x + 34$