document.write( "Question 1161785: Find the equation of the ellipse whose center is at (-3-1), vertex at (2,-1), and focus at (1,-1) \n" ); document.write( "

Algebra.Com's Answer #785407 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "The major axis is horizontal, so....

\n" ); document.write( "the standard form of the equation is $\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2+=+1\"$

\n" ); document.write( "The center is at (h,k)
\n" ); document.write( "a is the length of the semi-major axis
\n" ); document.write( "b is the length of the semi-minor axis
\n" ); document.write( "c is the distance from the center to the focus
\n" ); document.write( " $\"c%5E2+=+a%5E2%2Bb%5E2\"$

\n" ); document.write( "The given information tells us....

\n" ); document.write( "(h,k) = (-3,-1)
\n" ); document.write( "a = 2-(-3) = 5
\n" ); document.write( "c = 1-(-3) = 4

\n" ); document.write( "Use the known values of a and c to determine b; then plug all the right numbers in the standard form.

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