Answer: 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
