document.write( "Question 1074629: Write an equation for the translation of y=5/x with an asymptote at x=-3 and y=-2.\r
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Algebra.Com's Answer #689537 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Here's the graph of \"y\"\"%22%22=%22%22\"\"5%2Fx\".\r\n" );
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document.write( "It has asymptotes which are the x-axis (y=0) and the y-axis (x=0)\r\n" );
document.write( "and we want to move the graph so that it has x=-3 and y=-2, which\r\n" );
document.write( "are these green lines, as asympotes instead.\r\n" );
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document.write( "So as you see we want to shift the graph 3 units left and 2\r\n" );
document.write( "units down.\r\n" );
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document.write( "So we replace x by (x+3) and add -2 to the right side:\r\n" );
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document.write( " \"y\"\"%22%22=%22%22\"\"5%2F%28x%2B3%29-2\"\r\n" );
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document.write( "So the new graph with equation \"y\"\"%22%22=%22%22\"\"5%2F%28x%2B3%29-2\" has the\r\n" );
document.write( "green line as asymptotes.  The original graph is dotted in\r\n" );
document.write( "light blue.\r\n" );
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document.write( "If you like you can combine the terms on the right side:\r\n" );
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document.write( " \"y\"\"%22%22=%22%22\"\"5%2F%28x%2B3%29-%282%28x%2B3%29%29%2F%28x%2B3%29\"\r\n" );
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document.write( " \"y\"\"%22%22=%22%22\"\"5%2F%28x%2B3%29-%282x%2B6%29%2F%28x%2B3%29\"\r\n" );
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document.write( " \"y\"\"%22%22=%22%22\"\"%285-2x-6%29%2F%28x%2B3%29\"\r\n" );
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document.write( " \"y\"\"%22%22=%22%22\"\"%28-2x-1%29%2F%28x%2B3%29\"\r\n" );
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document.write( " \"y\"\"%22%22=%22%22\"\"%28-%282x%2B1%29%29%2F%28x%2B3%29\"\r\n" );
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document.write( " \"y\"\"%22%22=%22%22\"\"-%282x%2B1%29%2F%28x%2B3%29\"\r\n" );
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document.write( "But that probably isn't necessary.\r\n" );
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document.write( "Edwin
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