Question

The ellipse with center C(2, -3), vertices V(-8,-3) and V2(12,-3), and foci F1(-4,-3) and F2(8,-3). 6.

The ellipse with vertices V.(-1,-4) and V2(-1,6), and foci F(-1,-3) and F2(-1,5).​

Answer 1

(x-2)²/100 + (y+3)²/64 = 1

Explanation:

C (2,-3): h=2 k=-3

semimajor axis (CV): a=12-2=10

center-foci: c=8-2=6

semi minor axis: b² = a²-c²= 100 - 36 = 64

equation: (x-h)²/a² + (y-k)²/b² = 1

(x-2)²/100 + (y+3)²/64 = 1