I obviously can't use matrix apply or move nodes, because curve before evaluation isn't defined by positions of vertexes (I think it's represented as a function). I tried curve offset and cast curve, but all those are distorting the curve, not just moving it.
Edit: I am using a "Curve Mapper" to create the curve. I tried changing clipping (min Y to -1 and max Y to 0), but it doesn't let me edit the curve (all points can be only moved to Y = 0).
I am stuck, why isn't there any "Move Curve" node? From my limited perspective, it renders a lot of other nodes useless (e.g. "Concat Curve" - I want to move one curve bellow the other curve and then do the join, otherwise it results in nonsense).