Is that from a tactical bow

That's excellent.

Your arrow rest might be a little tweaking left or right by just a c-hair to get rid of the horizontal impact shift. If the arrow isn't leaving the bow perfectly straight, it's going to be correcting itself back and forth as it flies, which is why you'll see arrows hit slightly to the left at 20 yards, dead-on at 30 and slightly right at 40, etc, for example. The arrows will hit consistent if your form is consistent, but it will always hit left and right like that at different yardages. Broadheads will exaggerate this flight.

I'm assuming that is shooting an arrow step back shoot another. I generally shoot 15,30,45,and then 60. 15,30,and 45 where dead on with the usual 2 or 3 off somewhere. Been narrowing those down to the same arrows. Sometimes I'll get one that goes 7ft to the left. Bow tech said it had something to do with me shooting both eyes open. Said I'm close and opening an eye and not realizing it throwing my site picture off.