document.write( "Question 155777: Graph the follwing functions:
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\n" ); document.write( "A) y= -|x-10|+2
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Algebra.Com's Answer #114728 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Remember, if \"abs%28x%29=A\", then \"x=A\" or \"x=-A\". So this means that \"abs%28x-10%29\" can be broken up into \"%28x-10%29\" and \"-%28x-10%29=-x%2B10\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=-abs%28x-10%29%2B2\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"y=-%28x-10%29%2B2\" Replace \"abs%28x-10%29\" with \"%28x-10%29\" (which is the first part)\r
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\n" ); document.write( "\n" ); document.write( "\"y=-x%2B10%2B2\" Distribute the negative.\r
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\n" ); document.write( "\n" ); document.write( "\"y=-x%2B12\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "Now graph the equation \"y=-x%2B12\" (note: let me know if you help graphing this)\r
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\n" ); document.write( "\n" ); document.write( "\"graph%28500%2C500%2C-5%2C15%2C-8%2C12%2C-x%2B12%29\" Graph of \"y=-x%2B12\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=-abs%28x-10%29%2B2\" Go back to the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"y=-%28-x%2B10%29%2B2\" Replace \"abs%28x-10%29\" with \"-x%2B10\" (which is the second part) \r
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\n" ); document.write( "\n" ); document.write( "\"y=x-10%2B2\" Distribute the negative\r
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\n" ); document.write( "\n" ); document.write( "\"y=x-8\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "Now graph the equation \"y=x-8\" \r
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\n" ); document.write( "\n" ); document.write( "\"graph%28500%2C500%2C-5%2C15%2C-8%2C12%2Cx-8%29\" Graph of \"y=x-8\"\r
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\n" ); document.write( "\n" ); document.write( "Now graph the two equations together:\r
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\n" ); document.write( "\n" ); document.write( "\"graph%28500%2C500%2C-5%2C15%2C-8%2C12%2C-x%2B12%2Cx-8%29\" Graph of \"y=-x%2B12\" (red) and graph of \"y=x-8\" (green)\r
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\n" ); document.write( "\n" ); document.write( "Because the sign in front of the absolute value is a negative sign, this tells us that we have to erase the portions of the graph that are above the intersection like this:\r
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\n" ); document.write( "\n" ); document.write( "\"graph%28500%2C500%2C-5%2C15%2C-8%2C12%2C-abs%28x-10%29%2B2%29\" Graph of \"y=-abs%28x-10%29%2B2\"\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the graph of \"y=-abs%28x-10%29%2B2\" is \r
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\n" ); document.write( "\n" ); document.write( "\"graph%28500%2C500%2C-5%2C15%2C-8%2C12%2C-abs%28x-10%29%2B2%29\" \r
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