SOLUTION: Provide an equation of an ellipse with foci at (0,3) and (0,-3) that has the endpoints of its major axis at (0,4) and (0,-4)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Provide an equation of an ellipse with foci at (0,3) and (0,-3) that has the endpoints of its major axis at (0,4) and (0,-4)       Log On


   



Question 734019: Provide an equation of an ellipse with foci at (0,3) and (0,-3) that has the endpoints of its major axis at (0,4) and (0,-4)
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
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A way to use standard form of an ellipse is %28x-h%29%5E2%2F%28a%5E2-c%5E2%29%2B%28y-k%29%2F%28a%5E2%29=1. Your description is an ellipse in standard position, so h and k are both 0. Your description also makes a=4 and c=3, so your b^2 is 4%5E2-3%5E2=7. Be aware that this ellipse has major axis parallel or coinciding with the vertical coordinate axis, so "a" is in the denominator for the "y" rational expression.

The ellipse described is x%5E2%2F7%2By%5E2%2F16=1.
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