The graph of f(x)=1/x
has been transformed to create the graph of g() = 1/x-h.

D, h = -2

Step-by-step explanation:

This is a horizontal shift, the general case is:

If you have a function f(x), the function g(x) = f(x - A) wil move the graph of f(x) A units to the right (Where A is a positive number).

And h(x) = f(x + A) will move the graph A units to the left.

in this case, we have:

g(x) = f(x - h) = 1/(x - h)

Then to find the value of h, we need to count how many units the graph of f(x) has been moved.

We can see that the asympthotes are at x = -2, and those would be at x = 0 for f(x) = 1/x.

Then we have a horizontal shift of 2 units to the left.

This means that

g(x) = f(x + 2)

Then we must have that h = -2.

The correct option is D

D

Step-by-step explanation: