document.write( "Question 37458: give the equation of the ellipse with intercepts (4,0), (-4,0),(0,2) and (0,-2). \n" ); document.write( "

Algebra.Com's Answer #23143 by fractalier(6550) $\"\"$ $\"About$

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This ellipse has a center at the origin. That can be seen if you plot the intercepts. Also you can see that the semi-major axis (a) is 4, and the semi-minor axis (b) is 2. So we plug into the standard form of an ellipse to get:
\n" ); document.write( "(x^2)/(a^2) + (y^2)/(b^2) = 1
\n" ); document.write( "(x^2)/(4^2) + (y^2)/(2^2) = 1
\n" ); document.write( "(x^2) / 16 + (y^2) / 4 = 1
\n" ); document.write( "and we're done. \n" ); document.write( "

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