SOLUTION: 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

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Question 41522This question is from textbook CCollege Algebra Gary Rockswold
: 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 This question is from textbook CCollege Algebra Gary Rockswold

Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!

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%28+200%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+0%2C+1%2Fx%29+

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

+graph%28+200%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+999%28x-2%29%29+

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:



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




Edwin
AnlytcPhil@aol.com