A graphene antenna that exhibits a controllable radiation pattern is proposed. The antenna is formed by a graphene dipole and two parasitic elements, and operates at 1.84 THz. At this frequency, it is possible select three operation states by choosing the values of chemicals potentials applied on the graphene parasitic elements. In two of these states, due to the obtained current antiphase modes, the proposed antenna presents a directional lobe, which can be directed to — x-direction or x-direction depending on the device operation state. The third state consists of a dipole-like radiation pattern.