The standard form of ellipse centered at origin with vertical major axis (where ) is .

The vertices of the ellipse are and foci are .

Since the y - coordinates of vertices and foci are same, the major axis is vertical.

The endpoints of the major axis lie 8 units to the right and left of the center at .

So, the denominator of - term is .

Consider .

Substitute corresponding values in above equation.

\ \

.

Substitute the values of and in .

The standard form of the ellipse is .

The standard form of the ellipse is .