If I want to use some translation in x-axis I need more then one coordinate system, for example. So origin of first system for instance is ##(0,0)## and for second is ##(2,0)##?
The origin of the second system is at ##(2,0)## in the coordinates of the first system, but using the coordinates of the second system the origin, by definition, is at ##(0,0)##. As mfb said, it doesn't make sense to use the term to apply to some other point in the coordinate system.