Find the Equation of the Parabola Passing Through the Given $( - 2,6 ) , ( 1,12 )$

Multiple Choice

Find the equation of the parabola passing through the given points. $( - 2,6 ) , ( 1,12 )$ , and $( 2,18 )$

A) $\quad y = - 2 x ^ { 2 } + 3 x + 20$
B) $y = x ^ { 2 } + 3 x + 8$
C) $y = 3 x + 3$
D) $\quad y = x ^ { 2 } - 3 x + 8$
E) none of these