document.write( "Question 41522This question is from textbook CCollege Algebra Gary Rockswold
\n" ); document.write( ": Please Please help me so that I do not get a bad grade. I need a graph that should be a Hyperbola that approches X=2 Thanks \n" ); document.write( "
Algebra.Com's Answer #26817 by AnlytcPhil(1807)\"\" \"About 
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document.write( "Please Please help me so that I do not get a bad grade.\r\n" );
document.write( "I need a graph that should be a Hyperbola that \r\n" );
document.write( "approches x=2 \r\n" );
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document.write( "You can see that this hyperbola graph of y = 1/x \r\n" );
document.write( "approaches the y-axis, whose equation is x=0\r\n" );
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document.write( "\"+graph%28+200%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+0%2C+1%2Fx%29+\"\r\n" );
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document.write( "The line x=2 is a vertical line parallel to the \r\n" );
document.write( "y-axis and 2 units to the right of it, like this:\r\n" );
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document.write( "\"+graph%28+200%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+999%28x-2%29%29+\"\r\n" );
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document.write( "So we just need to shift \r\n" );
document.write( "the graph of y = 1/x by 2 units to the right, as you\r\n" );
document.write( "can see when I put both the line x=2 and the \r\n" );
document.write( "hyperbola on the same graph like this:\r\n" );
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document.write( "To accomplish this right-shifting by 2 units we \r\n" );
document.write( "replace x by (x-2) in the right side of the\r\n" );
document.write( "equation y = 1/x and get\r\n" );
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document.write( "y = 1/(x-2)\r\n" );
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document.write( "Now the green hyperbola has been shifted right\r\n" );
document.write( "2 units, as you can see below in the graph of\r\n" );
document.write( "y = 1/(x-2), and it now approaches the vertical\r\n" );
document.write( "line whose equation is x=2\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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