Find the Standard Form of the Equation of the Parabola $x ^ { 2 } = - 4 y$

Multiple Choice

Find the standard form of the equation of the parabola and determine the coordinates of the focus.

A) $x ^ { 2 } = - 4 y$ , focus: $\left( 0 , - \frac { 1 } { 4 } \right)$
B) $x ^ { 2 } = - \frac { 1 } { 16 } y$ , focus: $\left( 0 , - \frac { 1 } { 16 } \right)$
C) $x ^ { 2 } = - \frac { 1 } { 4 } y$ , focus: $\left( 0 , - \frac { 1 } { 16 } \right)$
D) $x ^ { 2 } = - 4 y$ , focus: (0,-4)
E) $x ^ { 2 } = - \frac { 1 } { 4 } y$ , focus: $\left( 0 , - \frac { 1 } { 4 } \right)$