Find the Equation of the Parabola $y = a x ^ { 2 } + b x + c$

Multiple Choice

Find the equation of the parabola $y = a x ^ { 2 } + b x + c$ that passes through the points. $( 0,0 ) , ( 4 , - 4 ) , ( 8,0 )$

A) $\frac { 1 } { 4 }$ x² - 4 y
B) $\frac { 1 } { 4 }$ x² -2 x
C) - $\frac { 1 } { 4 }$ x² - 4 x
D) $\frac { 1 } { 4 }$ x² + 4 x
E) - $\frac { 1 } { 4 }$ x² + 4 x