document.write( "Question 722537: Write an equation of an ellipse with the given characteristics:\r
\n" ); document.write( "\n" ); document.write( "center: (-1,5)
\n" ); document.write( "vertex: (3,5)
\n" ); document.write( "co-vertex: (-1,7)
\n" ); document.write( "

Algebra.Com's Answer #442772 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Write an equation of an ellipse with the given characteristics:
\n" ); document.write( "center: (-1,5)
\n" ); document.write( "vertex: (3,5)
\n" ); document.write( "co-vertex: (-1,7)
\n" ); document.write( "***
\n" ); document.write( "This is an ellipse with a horizontal major axis.(x-coordinates of center and vertex change, but y-coordinates do not)
\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: (-1,5)
\n" ); document.write( "a=4 (center to vertex, (-1 to 3))
\n" ); document.write( "a^2=16
\n" ); document.write( "b=2 (5 to 7)
\n" ); document.write( "b^2=4
\n" ); document.write( "Equation: \"%28x%2B1%29%5E2%2F16%2B%28y-5%29%5E2%2F4=1\"
\n" ); document.write( "
\n" ); document.write( "
\n" );