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

Multiple Choice

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) $y = x ^ { 2 } - 12$