Final answer:
The center of the hyperbola represented by the equation [(x-3)2] / 9 - [(y-2)2] / 4 = 1 is the point (3, 2).
Step-by-step explanation:
The equation [(x-3)2] / 9 - [(y-2)2] / 4 = 1 is that of a hyperbola. To find its center, we look at the transformations applied to the variable terms in the standard form of a hyperbola's equation. In this case, the hyperbola is centered at the point (x, y) = (3, 2), which can be seen directly from the format of the equation, where the center is given by (x-h)2 and (y-k)2, with (h, k) being the center. Hence, the center of the hyperbola is at the coordinates (3, 2).