Final answer:
The equation represents an ellipse, which is a closed curve formed by the intersection of a plane with a cone.
Step-by-step explanation:
The given equation, (x - 3)² (y - 2)² = 16, represents an ellipse.
An ellipse is a closed curve formed by the intersection of a plane with a cone. The general equation of an ellipse is (x-h)²/a² + (y-k)²/b² = 1, where (h,k) are the coordinates of the center and a and b are the lengths of the semi-major and semi-minor axes, respectively.
In this case, the equation can be written as (x-3)²/4 + (y-2)²/4 = 1, indicating that the center is at (3,2) with semi-major and semi-minor axes of length 2. Therefore, the correct conic section for the given equation is an ellipse.