Answer
See below.
Work Step by Step
The equation of the hyperbola has the form $\frac{(y-h)^2}{a^2}-\frac{(x-k)^2}{b^2}=1$, where $a\gt b\gt0$, the center is at $(h,k)$. The vertices are at $(h,k+a)=(2,4)$ and $(h,k-c)=(2,-2)$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.