We put a short granular chain in a qusai-2D circular channel and apply a vertical sinusoidal vibration on it. We set up 2 side-viewing cameras with orthogonal orientation to record the motion of the chain and discover that the horizontal motion of a short granular chain is closely related with its shape in vibrating cycles. When the chain keeps rod-like shape during vibration cycles, it behaves like small step random walk; when one of the ends rises up during vibration cycles, the chain moves ballistically; when both of the ends rise up, the chain behaves as a larger step random walk, but its horizontal motions of adjacent vibration cycles are related. Moreover, the character of the horizontal motion of 3 states keep consistent while the control parameters change.