Explanation:
It appears that the function f(x) is ...
f(x) = 1/(x -2)
The function g(x) can be rewritten as ...
g(x) = 8/(x -2) +3 = 8f(x) +3
So, the graph of g(x) will be the graph of f(x) scaled vertically by a factor of 8, then shifted upward 3 units.