The standard form of ellipse centered at origin with vertical major axis (where ) is
.
Observe the given graph :
\The major axis is vertical.
\The endpoint of the major axis lie 6 units up and down from the center (0, 0).
\The vertices of the ellipse are .
So, the denominator of - term is
.
Similarly, the endpoint of the minor axis lie 5 units to the left and right of the center at .
So, the denominator of - term is
.
Substitute corresponding values in .
The standard form of the ellipse is .
The standard form of the ellipse is .