Answer
$\frac{y^{2}}{4}$ - $\frac{x^{2}}{12}$ = 1
Work Step by Step
The center, vertex, and focus all lie on the line: x = 0.
Center: (0, 0)
Vertex: (0, 2)
Focus: (0, 4)
If we define a = 2 and c = 4, then $b^{2}$ = $c^{2}$ - $a^{2}$ = 12
Therefore, $\frac{y^{2}}{4}$ - $\frac{x^{2}}{12}$ = 1
