A head for an agricultural machine includes a frame with a center segment defining a first longitudinal axis and a wing defining a second longitudinal axis. The head also includes a motion control assembly connecting the center segment and the wing such that the wing is movable relative to the center segment between a deployed position and a non-deployed position. The motion control assembly is configured to maintain the second longitudinal axis in a parallel relationship with the first longitudinal axis as the wing moves between the deployed position and the non-deployed position, and the wing is movable from the deployed position to the non-deployed position along a continuous arc.