Solve Problems Using Systems in Three Variables
-Find the Values $a , b$

Multiple Choice

Solve Problems Using Systems in Three Variables
-Find the values of $a , b$ , and $c$ such that the graph of the quadratic equation $y = a x ^ { 2 } + b x + c$ passes through the points $( - 2,4 ) , ( - 1 , - 4 )$ , and $( 4,16 )$ .

A) $\mathrm { a } = 2 ; \mathrm { b } = - 2 ; \mathrm { c } = - 8$
B) $\mathrm { a } = 2 ; \mathrm { b } = - 8 ; \mathrm { c } = - 2$
C) $a = - 2 ; b = - 2 ; c = - 8$
D) $\mathrm { a } = - 2 ; \mathrm { b } = - 8 ; \mathrm { c } = - 2$