A rope swing follows a path modeled by the function h = 3x^2 −12x + 12, where h is the height of the rope relative to the ground and x is the distance traveled. What is the behavior of the rope as it swings? Use the discriminant to explain your answer.
A. The discriminant is 0, so the rope will touch the ground once as it swings.
B. The discriminant is positive, so the rope will drag across the ground as it swings.
C. The discriminant is positive, so the rope will never touch the ground.
D. The discriminant is negative, so the rope will never touch the ground.