In the Star Trek Alternate Reality Series, the Enterprise used red phasers very similar to pulse phasers. I understood that, although they do not really seem that useful, now that I've matured. In Star Trek: Into Darkness, the U.S.S. Vengeance fired sharp, red, fast phaser blasts that curved towards the Enterprise. When it attacked at warp, the majority of phaser blasts heavily damaged the Enterprise, of course, but some missed! Is there a point to the curving phasers?
Watching the video, it would seem some of the apparently curving phaser shots may be because of a moving camera point of view (particularly at the point were the Enterprise spins and drops out of warp).
However, at 25 seconds into the video, there is a clearly curving light trail that hits one of the Enterprise's nacelles. I think that this is actually a photon torpedo rather than a phaser, which explains the curve.
Funny how I'm answering my own question on a different computer. Well, I think the phasers might have bullet-like things to guide them. They could be in the phaser blasts, directing them to energy ships.
Or, something in the phaser energy could be attracted to the enterprise, like magnets. I'm not sure.