SOLUTION: Write an equation of an ellipse with the given characteristics: Center: (3,3) Vertex: (3, -1) Co Vertex: (1,3)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write an equation of an ellipse with the given characteristics: Center: (3,3) Vertex: (3, -1) Co Vertex: (1,3)      Log On


   

Question 452810: Write an equation of an ellipse with the given characteristics:
Center: (3,3)
Vertex: (3, -1)
Co Vertex: (1,3)
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Semi-major axis is 3--1 = a = 4.
Semi-minor axis is 3 - 1 = b = 2.
==> standard form of the equation is %28x-3%29%5E2%2F2%5E2+%2B+%28y-3%29%5E2%2F4%5E2+=+1, or
%28x-3%29%5E2%2F4+%2B+%28y-3%29%5E2%2F16+=+1