The equation of an ellipse in the standard form is given by:
[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b}=1[/tex]
(h,k) is the center coordinates, a is the major radius and b is the minor radius.
Therefore, if h = 3 and k = 2, the center is located at (3,2).
If a = 5, the x-coordinate of the major vertices are 3 + 5 = 8 and 3 - 5 = -2
Then, the major vertices are (-2,2) and (8,2)
