document.write( "Question 1184513: Given that f(x) = 2x^2 + x - 3,write f(x) in the form a(x+b)^2 + c,where a,b and c are constants. Sketch the graph of y= |f(x)| \n" ); document.write( "
Algebra.Com's Answer #815134 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"2x%5E2+%2B+x+-+3\"\r\n" );
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document.write( "Factor 2 out of the first two terms\r\n" );
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document.write( "\"2%28x%5E2%2Bexpr%281%2F2%29x%29-3\"\r\n" );
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document.write( "To the side take half of the coefficient of x, which is 1/2 of 1/2 or 1/4.\r\n" );
document.write( "Square it. Get (1/4)2=1/16.\r\n" );
document.write( "Add and subtract 1/16 inside the parentheses (which amounts to adding zero)\r\n" );
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document.write( "\"2%28x%5E2%2Bexpr%281%2F2%29x%2B1%2F16-1%2F16%29-3\"\r\n" );
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document.write( "Factor the first three terms inside the parentheses\r\n" );
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document.write( "\"2%28%28x%2B1%2F4%29%28x%2B1%2F4%29%5E%22%22-1%2F16%29-3\"\r\n" );
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document.write( "\"2%28%28x%2B1%2F4%29%5E2-1%2F16%29-3\"\r\n" );
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document.write( "Distribute the 2:\r\n" );
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document.write( "\"2%28x%2B1%2F4%29%5E2-1%2F8-3\"\r\n" );
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document.write( "\"2%28x%2B1%2F4%29%5E2-1%2F8-24%2F8\"\r\n" );
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document.write( "\"2%28x%2B1%2F4%29%5E2-25%2F8\"\r\n" );
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document.write( "That's in the form \"a%28x%2Bb%29%5E2+%2B+c\", a=2, b=1/4, c=-25/8\r\n" );
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document.write( "Edwin
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