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) (Show Source):
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A way to use standard form of an ellipse is . 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 . 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.