Step 1:
\The vertices are and foci is
.
Observe vertices and foci, coordinates are equal.
So, the hyperbola has a vertical transverse axis and its standard form of the equation is
\.
Where,
\ is the center.
The distance between center and vertex is .
The distance between center and focus is .
.
Using midpoint formula, the center of the hyperbola is .
The distance between center and vertex is .
The distance between center and focus is