Final answer:
The center of the hyperbola with the equation (x - 2)²/4² is (2, 0).
So the option A is the correct answer.
Step-by-step explanation:
The equation given is (x - 2)²/4². This can be rewritten as (x - 2)²/16.
The center of the hyperbola is given by the values inside the parentheses, which in this case is (2, 0). Therefore, the correct answer is option a) (2, 0).
So the option A is the correct answer.