Find the Standard Form of the Equation of the Parabola $x ^ { 2 } = \frac { 1 } { 9 } y$

Multiple Choice

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

A) $x ^ { 2 } = \frac { 1 } { 9 } y$ focus: $\left( 0 , \frac { 1 } { 36 } \right)$
B) $x ^ { 2 } = - \frac { 1 } { 36 } y$ focus: $\left( 0 , - \frac { 1 } { 36 } \right)$
C) $x ^ { 2 } = \frac { 1 } { 9 } y$ focus: $\left( 0 , - \frac { 1 } { 9 } \right)$
D) $x ^ { 2 } = 9 y$ focus: $\left( 0 , - \frac { 1 } { 9 } \right)$
E) $x ^ { 2 } = - 9 y$ focus: (0, 4)