document.write( "Question 424266: I home school, I need to be able to explain this equation to student. I am lost, book is somewhat brief on procedure. Please help! thank you in advance\r
\n" ); document.write( "\n" ); document.write( "For the function f(x)=x^2-2x+1,
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Algebra.Com's Answer #295819 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
For the function f(x)=x^2-2x+1,
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document.write( "f(x) = x² - 2x + 1\r\n" );
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document.write( "Replace every x\r\n" );
document.write( " with (1)\r\n" );
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document.write( "f((1)) = (1)² - 2(1) + 1\r\n" );
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document.write( "We don't need the double parentheses after the f, and we will\r\n" );
document.write( "drop the color scheme:\r\n" );
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document.write( "f(1) = (1)² - 2(1) + 1\r\n" );
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document.write( "Now we simplify the right side:\r\n" );
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document.write( "f(1) = 1 - 2 + 1\r\n" );
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document.write( "f(1) = 0\r\n" );
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\n" ); document.write( "(b) solve f(x)=0
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document.write( "f(x) = x² - 2x + 1\r\n" );
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document.write( "Put a zero where the f(x) is\r\n" );
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document.write( "  0 = x² - 2x + 1\r\n" );
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document.write( "Swap sides:\r\n" );
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document.write( " x² - 2x + 1 = 0\r\n" );
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document.write( "Factor the left side:\r\n" );
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document.write( "(x - 1)(x - 1) = 0\r\n" );
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document.write( "Use the zero-factor principle:\r\n" );
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document.write( "x - 1 = 0         x - 1 = 0\r\n" );
document.write( "    x = 1             x = 1\r\n" );
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document.write( "Get some points:\r\n" );
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document.write( " x | y =  f(x) =    x² + 1             | point\r\n" );
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document.write( "-2 | y = f(-2) = (-2)² + 1 = 4 + 1 = 5 | (-2,5) \r\n" );
document.write( "-1 | y = f(-1) = (-1)² + 1 = 1 + 1 = 2 | (-1,2)\r\n" );
document.write( " 0 | y =  f(0) =  (0)² + 1 = 0 + 1 = 1 |  (0,1}\r\n" );
document.write( " 1 | y =  f(1) =  (1)² + 1 = 1 + 1 = 2 |  (1,2) \r\n" );
document.write( " 2 | y =  f(2) =  (2)² + 1 = 4 + 1 = 5 |  (2,5)\r\n" );
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document.write( "Plot those points:\r\n" );
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document.write( "Now draw a smooth U-shaped curve through those points:\r\n" );
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document.write( "Edwin

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