Find the Equation of the Parabola Passing Through the Given $( - 2,3 ) , ( 1,12 )$

Multiple Choice

Find the equation of the parabola passing through the given points. $( - 2,3 ) , ( 1,12 )$ , and $( 2,19 )$

A) $\quad y = 4 x + 6$
B) $\quad y = x ^ { 2 } - 4 x + 7$
C) $\quad y = x ^ { 2 } + 4 x + 7$
D) $\quad y = - 5 x ^ { 2 } + 4 x + 31$
E) none of these