Is the rest on there tightly? Even if it on right it may be, "off" (Not Level or not square). Take it to a pro shop and they can figure the issue in less that 5 minutes.

What shaw is refering to is shooting an arrow through paper to make sure the center shot is properly aligned. Meaning arrow rest alignment. If fletching hole in the paper is left or right of where the tip entered youll need to move arrow rest left or right. Same goes for up and down. The qad rests have timing marks on the housing. At full draw those marks must line up or the rest wont drop properly. Also the bows cam has a timing hole on it. The string should be in the middle of this hole if not youll have to have someone twist or untwist the bus cable. This requires a bowpress and not for the novice to attempt. Sounds like you have a tuning problem and I would do as shaw suggested. Hope this helps.

These guys are talking about tuning your bow to the arrow,but you can also tune your arrow to the bow. An arrow that is too weak will leave the bow with the nock farther left than optimal and one that is too stiff,farther right than optimal.

All arrows will flex and recover at release but too much or too little flex will cause your fletching to drag more wind to recover.

Length of arrow and tip weight will also effect how much the arrow flexes.

To tune a bow is to align the bow and set the spine of the arrow so that you get optimal flex and optimal recovery. A well tuned arrow will penetrate much better because it doesn't expend it's energy recovering and it isn't still in recovery when it strikes the target.

I shoot a trad bow and a tuned bow will shoot bareshafts to the same point of impact as fletched shafts at 40 yards if you have good form and release. A tuned arrow will punch a neat hole through a clay target where one that is out of tune will bust the clay target. I've seen well tuned arrows penetrate at least 30% deeper in a target than poorly tuned ones.