Question

Vertices: (4,13) and (4,3)
Foci: (4,11)and (4,5)
Write a equation

Answer 1

(x-4)²/16 + (y-8)²/25 = 1

Explanation:

center (h,k): ((4+4)/2 , (3+13)/2) = (4 , 8)

a = 13-8 = 5 c = 8-5 = 3

b = √5²-3² = 4

Equation: (x-h)²/b² + (y-k)²/a² = 1

(x-4)²/16 + (y-8)²/25 = 1