document.write( "Question 1200541: The graph of y = x^2 + 5x is translated 2 units to the right. Find the equation of the resulting
\n" ); document.write( "graph. Give your answer in the form y = ax^2 + bx + c. \n" ); document.write( "
Algebra.Com's Answer #834746 by Edwin McCravy(20055)\"\" \"About 
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document.write( "To translate h units to the RIGHT substitute (x-h) for x.\r\n" );
document.write( "To translate h units to the LEFT substitute (x+h) for x.\r\n" );
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document.write( "[Notice that the signs seem exactly opposite from what you might think. But\r\n" );
document.write( "here's the reason:  \r\n" );
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document.write( "We SUBTRACT h units from x so that x will have to be h units LARGER (to the\r\n" );
document.write( "RIGHT) to produce the same values for y. \r\n" );
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document.write( "We ADD h units to x so that x will have to be h units SMALLER (to the LEFT) to\r\n" );
document.write( "produce the same values for y.\r\n" );
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document.write( "We want to shift 2 units RIGHT, so we substitute (x-2) for x into:\r\n" );
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document.write( "\"y+=+x%5E2+%2B+5x\"\r\n" );
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document.write( "like this:\r\n" );
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document.write( "\"y+=+%28x-2%29%5E2+%2B+5%28x-2%29\"\r\n" );
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document.write( "Now, multiply out the (x-2)2, distribute the 5 into the (x-2), and\r\n" );
document.write( "then collect like terms.  Then it'll be in the form \"y+=+ax%5E2+%2B+bx+%2B+c\".\r\n" );
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document.write( "Edwin
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