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write in standard form,an ellipse with foci (-3,2) and (1,2) and major axis of length 8
\n" ); document.write( "**
\n" ); document.write( "Since x-coordinates of the foci change but y-coordinates do not, major axis is horizontal.
\n" ); document.write( "Standard form of equation for an ellipse with horizontal major axis: (x-h)^2/a^2+(y-k)^2/b^2=1
\n" ); document.write( "x-coordinate of center is half-way between x-coordinates of foci=-1
\n" ); document.write( "y-coordinate of center is y-coordinate of foci=2
\n" ); document.write( "center: (-1,2)
\n" ); document.write( "length of major axis=8=2a
\n" ); document.write( "a=4
\n" ); document.write( "a^2=16
\n" ); document.write( "..
\n" ); document.write( "distance between x-coordinates of foci=4=2c
\n" ); document.write( "c=2
\n" ); document.write( "c^2=4
\n" ); document.write( "..
\n" ); document.write( "c^2=a^2-b^2
\n" ); document.write( "b^2=a^2-c^2=16-4=12
\n" ); document.write( "..
\n" ); document.write( "Equation of given ellipse:
\n" ); document.write( " (x-h)^2/a^2+(y-k)^2/b^2=1
\n" ); document.write( " (x+1)^2/16+(y-2)^2/12=1 \n" ); document.write( "