document.write( "Question 1141608: Translate the axes to eliminate the first degree terms of
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Algebra.Com's Answer #762254 by Edwin McCravy(20060) $\"\"$ $\"About$

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document.write( "We replace x by (x+h) and y by (y+k)\r\n" );
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document.write( "There is no need to multiply everything out yet, so we just list \r\n" );
document.write( "the first degree terms:\r\n" );
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document.write( "Group the x terms and the y-terms and factor out x and y:\r\n" );
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document.write( "The first degree terms will vanish (become 0) if the coefficients of x and y\r\n" );
document.write( "are both 0.  So we set them equal 0:\r\n" );
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document.write( "We solve that system by elimination or substitution\r\n" );
document.write( "and get h=2, k=4\r\n" );
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document.write( "That simplifies to\r\n" );
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document.write( "So we shift the graph 2 units left and 4 units down and that \r\n" );
document.write( "will eliminate the first degree terms, leaving only terms of\r\n" );
document.write( "degrees 0 and 2.\r\n" );
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document.write( "Edwin

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