Find the Equation of the Parabola with Vertex At $( 0,0 )$

Multiple Choice

Find the equation of the parabola with vertex at $( 0,0 )$ and focus at $( 0,4 )$ .

A) $\quad x ^ { 2 } = 16 y$
B) $\quad y ^ { 2 } = 16 x$
C) $\quad x ^ { 2 } = 4 y$
D) $x ^ { 2 } = y + 4$
E) none of these