The form of an eclipse is written as:
(x-h)^2/b^2 + (y-k)^2/a^2 = 1
Matching the values in the given equation tot he form of an eclipse you have:
a = 6
b = 4
k = 0
h = 0
A is the radius of the major axis and b is the radius of the minor axis.
H is the X offset and K is the Y offset.
The first vertex is written as (h, k+a)
Replacing the letters with their values you get:
(0, 0+6) = (0,6)
The second vertex is written as (h, k-a)
Replacing the letters with their values you get:
(0, 0-6) = (0,-6)
The vertices of the are (0,6) and (0,-6)
The vertices are the end points of the major axis, since 6 and -6 are longer than the minor axis of -4, 4 the ellipse has a vertical major axis