Question 41522
<pre><font size = 5><b>
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 

You can see that this hyperbola graph of y = 1/x 
approaches the y-axis, whose equation is x=0

{{{ graph( 200, 200, -5, 5, -5, 5, 0, 1/x) }}}

The line x=2 is a vertical line parallel to the 
y-axis and 2 units to the right of it, like this:

{{{ graph( 200, 200, -5, 5, -5, 5, 999(x-2)) }}}

So we just need to shift 
the graph of y = 1/x by 2 units to the right, as you
can see when I put both the line x=2 and the 
hyperbola on the same graph like this:

{{{ graph( 200, 200, -5, 5, -5, 5, 999(x-2), 1/x*(x-2)^0/(x-2)^0)}}}

To accomplish this right-shifting by 2 units we 
replace x by (x-2) in the right side of the
equation y = 1/x and get

y = 1/(x-2)

Now the green hyperbola has been shifted right
2 units, as you can see below in the graph of
y = 1/(x-2), and it now approaches the vertical
line whose equation is x=2

{{{ graph( 200, 200, -5, 5, -5, 5, 999(x-2), 1/(x-2)*(x-2)^0/(x-2)^0)}}}


Edwin
AnlytcPhil@aol.com</pre>