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