Final answer:
Option A) (f(x - 3) + 2) represents a rigid motion because it translates the function without changing its shape or size.
Step-by-step explanation:
The question asks about rigid motion transformations, which consist of rotations, reflections, and translations of a function on a graph without altering its shape or size.
Therefore, among the given options, A) (f(x - 3) + 2) represents a rigid motion because it involves translating the function f(x) three units to the right and two units up. This transformation doesn't change the shape or size of the graph, only its position.
Option B) (f(7x)), C) (f(3) + 1), and D) (2f(x) + 3) are not rigid motions. B) is a horizontal scaling (changes the shape), C) is not a function transformation but rather a single point evaluation with a constant addition, and D) is a vertical scaling and translation (changes the shape and size).