Answer
c)
Work Step by Step
The equation of the hyperbola has the form $\pm(\frac{(y-h)^2}{a^2}-\frac{(x-k)^2}{b^2})=1$, the center is at $(h,k)$.
As we can see, the transverse axis is the y-axis, thus in the above equation we have a positive sign at the front, thus it can only be c) or d). We can see that $(0,2)$ is on the graph, which must satisfy the parabola's equation, and since it satisfies only c), this is our answer.