Use a System of Equations to Find the Specified Equation $y = a x ^ { 2 } + b x + c$

Use a system of equations to find the specified equation that passes through the points.
Solve the system using matrices.
Parabola: $y = a x ^ { 2 } + b x + c$

A)
$y = - x ^ { 2 } - 12$
B)
$$y = - x ^ { 2 } - x - 12$$
C)
$$y = x ^ { 2 } + x - 12$$
D)
$$y = x ^ { 2 } + 9 x - 36$$
E)
$$y = x ^ { 2 } - 12$$