document.write( "Question 673090: what is the equation for this ellipse with a foci at (1,-4) and (-3,-4) and a length major axis at 12? \n" ); document.write( "

Algebra.Com's Answer #418639 by lwsshak3(11628) $\"\"$ $\"About$

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what is the equation for this ellipse with a foci at (1,-4) and (-3,-4) and a length major axis at 12?
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\n" ); document.write( "Foci information show this is an ellipse with horizontal major axis.
\n" ); document.write( "Its standard form of equation: $\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1\"$ , a>b, (h,k)=(x,y) coordinates of center.
\n" ); document.write( "For given ellipse:
\n" ); document.write( "center: (-1,-4) (midpoint of x-coordinate and y-coordinate of foci)
\n" ); document.write( "given length of major axis=12=2a
\n" ); document.write( "a=6
\n" ); document.write( "a^2=36
\n" ); document.write( "c=2 (distance from center to foci on horizontal major axis)
\n" ); document.write( "c^2=4
\n" ); document.write( "c^2=a^2-b^2
\n" ); document.write( "b^2=a^2-c^2=36-4=32
\n" ); document.write( "Equation of given ellipse:
\n" ); document.write( " $\"%28x%2B1%29%5E2%2F36%2B%28y%2B4%29%5E2%2F32=1\"$ \n" ); document.write( "

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