The vertices are
and foci are
.
Since the
- coordinates of vertices and foci are same, transverse axis is vertical.
The hyperbola has a vertical transverse axis and its standard form is
\
.
Where
is the center.
The distance between center and vertex is
.
The distance between center and focus is
.
.
Center of the hyperbola is origin, i.e
.
The distance between center and vertex is
.
The distance between center and focus is
.

Substitute the values of
and
in standard form of hyperbola.

The standard form of the hyperbola is
.