document.write( "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) \n" ); document.write( "

Algebra.Com's Answer #448688 by josgarithmetic(39618) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "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.\r
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\n" ); document.write( "\n" ); document.write( "The ellipse described is $\"x%5E2%2F7%2By%5E2%2F16=1\"$ .\r
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