Question

Help would be appreciated ASAP! Thank you!!

Answer 1

Standard form of an ellipse is,

$\frac{(x-h)^2}{a^2} +\frac{(y-k)^2}{b^2} =1$

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!