Standard form of an ellipse is,
[tex] \frac{(x-h)^2}{a^2} +\frac{(y-k)^2}{b^2} =1 [/tex]
Formula to find the vertices is (h + a, k), (h - a, k).
First step is to compare this equation with the given equation to get the value of a, b, h and k.
After comparing the equation we will get :
h = 7, k = -2 and
a² = 64
a = √64
So, a = 8.
Next step is to plug in the values of a, h and k in the above formula to get the vertices. So,
(h + a, k), (h - a, k) = (7 + 8, - 2), (7 - 8 , -2)
= (15, -2) , (-1, -2)
So, the last choice is correct.
Hope this helps you!
