In this article the concept of ``tachy-photons'' is introduced. The tachy-photons are photons emitted by an accelerating light source. The tachy-photons can travel faster than the speed of light, but their average speed is equal to the speed of light. Using the trajectories of tachy-photons, the apparent motion of an accelerating light source is calculated. This apparent motion of the light source is dramatically different from its actual motion.