Answer:
1 unit right and 3 units up
Step-by-step explanation:
The graph of the given function has equation
[tex]f : y = \frac{3}{x - 1} + 3[/tex]
This is obtained after translating the graph of
[tex]g : y = \frac{3}{x} [/tex]
We can rewrite f in terms g to obtain:
[tex]f(x) = g(x - 1) + 3[/tex]
This is a shift to the right by 1 unit and and a shift up by 3 units.
Therefore
[tex]y = \frac{3}{x - 1} + 3[/tex]
is a translation of
[tex]y = \frac{3}{x} [/tex]
1 unit right and 3 units up