We report a full-wave analysis of a graphene-based plasmonic nanoantenna with frequency and pattern reconfigurable characteristics. The proposed antenna consists of a circular graphene patch and four graphene fan-shaped parasitic elements. Ten different operational states of radiation patterns can be obtained by controlling the conductivity of parasitic elements. The main beam is rotated from −45  deg to +45  deg with a step increment of 90 deg in the azimuth plane. The resonance frequency for different operational states slightly varies from 2.43 to 2.47 THz with almost stable radiation performance. Simulated gain has been achieved up to 4.68 dBi with a total efficiency of 62%. The proposed antenna supports the surface plasmon waves; hence it can be successfully miniaturized at the THz frequencies. The simulated results for return loss, gain, and radiation patterns have been reported for 10 different operational states.