SOLUTION: Find the equation of an ellipse with center (1,3), vertex at (8,3), and co-vertex at (1,-1)? Find the equation of an ellipse with center (-2,-5), vertex at (-2,0), and focus at

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the equation of an ellipse with center (1,3), vertex at (8,3), and co-vertex at (1,-1)? Find the equation of an ellipse with center (-2,-5), vertex at (-2,0), and focus at       Log On


   

Question 865480: Find the equation of an ellipse with center (1,3), vertex at (8,3), and co-vertex at (1,-1)?
Find the equation of an ellipse with center (-2,-5), vertex at (-2,0), and focus at (-2,-2)?
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

the equation of an ellipse with center (1,3), vertex at (8,3), and co-vertex at (1,-1)

%28x-1%29%5E2%2F7%5E2+%2B+%28y-3%29%5E2%2F4%5E2+=+1  major axis along y = 3



the equation of an ellipse with center (-2,-5), vertex at (-2,0), and focus at (-2,-2)

%28x%2B2%29%5E2%2F3%5E2+%2B+%28y%2B5%29%5E2%2F5%5E2+=+1  major axis along x = -2

sqrt(25 - 16) = 3