SOLUTION: Write an equation for the translation of y=5/x with an asymptote at x=-3 and y=-2. Please help and show all work so I can try and understand how to do it.

Here's the graph of .

 

It has asymptotes which are the x-axis (y=0) and the y-axis (x=0)
and we want to move the graph so that it has x=-3 and y=-2, which
are these green lines, as asympotes instead.

 

So as you see we want to shift the graph 3 units left and 2
units down.

So we replace x by (x+3) and add -2 to the right side:

 



So the new graph with equation  has the
green line as asymptotes.  The original graph is dotted in
light blue.

If you like you can combine the terms on the right side:

 

 

 

 

 

 

But that probably isn't necessary.

Edwin