document.write( "Question 279767: find the equation, in standard form, of the parabola\r
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Algebra.Com's Answer #203378 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\"3y%5E2%2B6y-x%2B6=0\"
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document.write( "Standard form is\r\n" );
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document.write( "\"%28y-k%29%5E2=4p%28x-h%29\"\r\n" );
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document.write( "Get the y-terms on the left and the others on the right:\r\n" );
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document.write( "\"3y%5E2%2B6y-x%2B6=0\"\r\n" );
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document.write( "\"3y%5E2%2B6y=x-6\"\r\n" );
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document.write( "Divide through by 3, the coefficient of \"y%5E2\":\r\n" );
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document.write( "\"y%5E2%2B2y=1%2F3\"\"x-2\"\r\n" );
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document.write( "Complete the square on the left:\r\n" );
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document.write( "1. Multiply the coefficient of y, which is 2 by \"1%2F2\", getting 1\r\n" );
document.write( "2. Square 1, getting 1\r\n" );
document.write( "3. Add 1 to both sides:\r\n" );
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document.write( "\"y%5E2%2B2y%2Bred%281%29=1%2F3\"\"x-2%2Bred%281%29\"\r\n" );
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document.write( "Factor the left side as a perfect square, combine terms on the right.\r\n" );
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document.write( "\"%28y%2B1%29%5E2=1%2F3\"\"x-1\"\r\n" );
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document.write( "Factor out \"1%2F3\", the coefficient of x on the right,\r\n" );
document.write( "by dividing the \"-1\" by \"1%2F3\" like this:  \r\n" );
document.write( "\"-1\"\"%22%F7%22\"\"1%2F3\"\"%22=%22\"\"-1\"\"%22%22%2A%22%22\"\"3%2F1\"\"%22=%22\"\"-3\"\r\n" );
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document.write( "So we have the standard form:\r\n" );
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document.write( "\"%28y%2B1%29%5E2=1%2F3\"\"%28x-3%29\"\r\n" );
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document.write( "Edwin
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