document.write( "Question 437902: The circle x^2 + y^2 - 2x - 3 = 0 is stretched horizontally by a factor of 2 about x = 0 to obtain an ellipse. what is the equation of this ellipse in general form \n" ); document.write( "
Algebra.Com's Answer #302965 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "To stretch horizontally by a factor of k, the rule is:\r\n" );
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document.write( "Replace x by x/k\r\n" );
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document.write( "So we replace x by x/2 in\r\n" );
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document.write( "        xｲ + yｲ - 2x - 3 = 0\r\n" );
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document.write( "(x/2)ｲ + yｲ - 2(x/2) - 3 = 0\r\n" );
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document.write( "       xｲ/4 + yｲ - x - 3 = 0\r\n" );
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document.write( "Cl;earing of fractions:\r\n" );
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document.write( "      xｲ + 4yｲ - 4x - 12 = 0\r\n" );
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document.write( "That's all you were supposed to do.  However if you\r\n" );
document.write( "place the circle and the ellipse in standard form\r\n" );
document.write( "you get:\r\n" );
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document.write( "(x - 1)ｲ + (y - 0)ｲ = 2ｲ\r\n" );
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document.write( "which is this graph:\r\n" );
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document.write( "And the ellipse has the standard equation\r\n" );
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document.write( "(x - 2)ｲ   (y - 0)ｲ\r\n" );
document.write( "覧覧覧覧 + 覧覧覧覧 = 1\r\n" );
document.write( "   4ｲ         2ｲ\r\n" );
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document.write( "and its graph is:\r\n" );
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document.write( "Edwin
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