document.write( "Question 1184512: Sketch the graph of y = | x^2 - 5x + 4 | \n" ); document.write( "
Algebra.Com's Answer #815123 by Theo(13342)\"\" \"About 
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three graphs.\r
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\n" ); document.write( "\n" ); document.write( "first is y = x^2 - 5x + 4\r
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\n" ); document.write( "\n" ); document.write( "second is y = |x^2 - 5x + 4|\r
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\n" ); document.write( "\n" ); document.write( "third is both.\r
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\n" ); document.write( "\n" ); document.write( "red is the first and blue is the second.
\n" ); document.write( "they are the same except for the piece that is negative (red piece).\r
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\n" ); document.write( "\n" ); document.write( "that's where the first is negative and the second is positive, because that's the absolute value part.\r
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\n" ); document.write( "\n" ); document.write( "absolute equation property.\r
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\n" ); document.write( "\n" ); document.write( "is x is positive then |x| is equal to x.
\n" ); document.write( "if x is negative, then |x| is equal to -x.\r
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\n" ); document.write( "\n" ); document.write( "the value of |x| is always positive.\r
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\n" ); document.write( "\n" ); document.write( "here's a reference on absolute value.\r
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\n" ); document.write( "\n" ); document.write( "https://www.mathsisfun.com/numbers/absolute-value.html\r
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