The center of the ellipse is .
The focus of the ellipse is .
The vertex of the ellipse is .
The -coordinate of vertex and focus are same, so the ellipse is vertical.
The standard form of vertical ellipse is , where
is the center of the ellipse,
is the length of the major axis and
is the length of the minor axis.
The distance between center and vertex is .
The distance between center and focus is .
.
is the distance between center and vertex.
is the distance between center and focus.
Now .
Substitute the values of and
and
in
.
.
The equation of ellipse is .
The equation of ellipse is .