Question

NEED ANSWER IN FIVE MINUTES!!!!!!!!

An ellipse has a center at the origin, a vertex along the major axis at (0, 17), and a focus at (0, −8). Which equation represents this ellipse?

Answer 1

Since the focus and vertex are above and below each other, rather than side by side, I know that this ellipse must be taller than it is wide.

Then

a² will go with the y part of the equation

Also, since the focus is 8 units below the center, then c = 8

since the vertex is 17 units above, then a = 17

The equation b² = a² – c² gives me

b²=17²-8²-----> b²=225

the equation is

y²/a²+x²/b²=1------> y²/289+x²/225=1

the answer is

y²/289+x²/225=1

Answer 2

The other answer is correct, but on edge the answer is in this form: y^2/17^2 + x^2/15^2 = 1 which is answer choice D.)