document.write( "Question 1119190: An ellipse has a vertex at (0, -5), a co-vertex at (–3, 0), and a center at the origin. Which is the equation of the ellipse in standard form? \n" ); document.write( "

Algebra.Com's Answer #734669 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Center at the origin and one vertex (0,-5) means the other vertex is (0,5).

\n" ); document.write( "Center at the origin and one co-vertex at (-3,0) means the other co-vertex is at (3,0).

\n" ); document.write( "So the major axis is in the y direction, and the length of the semi-major axis is 5; the minor axis is in the x direction, and the length of the semi-minor axis is 3.

\n" ); document.write( "The standard form for an ellipse with center (0,0), semi-major axis 5 in the y direction, and semi-minor axis 3 in the x direction, is

\n" ); document.write( " $\"%28x%5E2%2F3%5E2%29+%2B+%28y%5E2%2F5%5E2%29+=+1\"$

\n" ); document.write( "or

\n" ); document.write( " $\"%28x%5E2%2F9%29%2B%28y%5E2%2F25%29+=+1\"$ \n" ); document.write( "

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