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4 votes
Help would be appreciated ASAP! Thank you!!

Help would be appreciated ASAP! Thank you!!-example-1
User Guy Gordon
by
7.0k points

1 Answer

2 votes

Standard form of an ellipse is,


((x-h)^2)/(a^2) +((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!

User Gabriel Mendez
by
6.4k points