Find the Standard Form of the Equation of the Parabola $x ^ { 2 } = - 3 y$

Multiple Choice

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

A) $x ^ { 2 } = - 3 y$ focus: $$\left( 0 , - \frac { 1 } { 3 } \right)$$
B) $$x ^ { 2 } = - \frac { 1 } { 12 } y$$ focus: $$\left( 0 , - \frac { 1 } { 12 } \right)$$
C) $$x ^ { 2 } = - 3 y$$ focus: (0,- 4)
D) $x ^ { 2 } = - \frac { 1 } { 3 } y$ focus: $\left( 0 , - \frac { 1 } { 3 } \right)$
E) $x ^ { 2 } = - \frac { 1 } { 3 } y$ focus: $\left( 0 , - \frac { 1 } { 12 } \right)$