document.write( "Question 32653: Can someone explain to me how to graph (x+2)²/9+(y-3)²/4=1 and other ellipses and how to find the equation of an ellipse from its graph? \n" ); document.write( "

Algebra.Com's Answer #19166 by mukhopadhyay(490) $\"\"$ $\"About$

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You will need to find the critical co-ordinates (on a plane) of an ellipse to draw graph.
\n" ); document.write( "The critical points (co-ordinnates) of an ellipse are: Vertices and end points of its minor axis;
\n" ); document.write( "(x+2)²/9+(y-3)²/4=1;
\n" ); document.write( "The center of the above ellipse is at (-2, 3); the major axis is y=3 (parallel to x-axis) and the minor axis is x=-2 (parallel to y-axis)
\n" ); document.write( "The vertices of this ellipse are (-2-3,3) and (-2+3,3); addition of 3 to or subtraction of 3 from the x-coordinate of the center comes from sqrt(9)
\n" ); document.write( "when simplified, they are (-5,3) and (1,3);
\n" ); document.write( "The end points of the minor axis are (-2, 3+2) and (-2, 3-2); addition of 2 to or subtraction from of 2 from the y-coordinate of the center comes from sqrt(4)
\n" ); document.write( "when simplified, they are (-2,5) and (-2,1);
\n" ); document.write( "Plot these 4 co-ordinates on the graph paper and join them to form an oval shaped diagram.\r
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