Use the Standard Form of a Parabola Given By $y = a x ^ { 2 } + b x + c$

Multiple Choice

Use the standard form of a parabola given by $y = a x ^ { 2 } + b x + c$ to write an equation of a parabola that passes through the points $( 4,4 ) , ( 1,13 )$ and $( 3,1 )$ .

A) $y = 3 x ^ { 2 } - 24 x + 49$
B) $y = 3 x ^ { 2 } - 12 x + 13$
C) $y = 3 x ^ { 2 } - 18 x + 28$
D) $y = 3 x ^ { 2 } - 12 x - 13$