document.write( "Question 968902: Write an equation for the ellipse with vertices (2,2),(4,2),(3,-1), and (3,5). \n" ); document.write( "

Algebra.Com's Answer #592001 by Edwin McCravy(20064) $\"\"$ $\"About$

You can put this solution on YOUR website!
(2,2),(4,2),(3,-1), and (3,5).
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "Plot the points:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Sketch the ellipse:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It's shaped like the number zero 0, so it has equation:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Draw the major and minor axes:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The ases cross at the center, which is (h,k) = (3,2)\r\n" );
document.write( "\r\n" );
document.write( "Counting the units, we see that the major axis is 6, and the semi-major\r\n" );
document.write( "axis is a = 3, half of 6.\r\n" );
document.write( "\r\n" );
document.write( "Counting the units, we see that the minor axis is 2, and the semi-minor\r\n" );
document.write( "axis is b = 1, half of 1.\r\n" );
document.write( "\r\n" );
document.write( "So we substitute, h=3, k=2, a=3, and b=1 in\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "and get\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );