Question

What is the standard form equation of an ellipse that has vertices (−2,−18) and (−2,8) and foci (−2,−14) and (−2,4)?

Answer 1

Hello,

Explanation:

All is in the picture.

B=(-2,8), O=(-2,-5)

b=BO=8+5=13

F_1=(-2,4) O=(-2,5) Focus distance=4+5=9
Horizontal half axis=√(b²-f²)=√88