Why the origin of this complex is moving away from the origin (0,0)?

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Why does the origin of the complex line z is moving away from the origin?

$$Let\;z=x+i\cdot y \\\;z-1\;=\;\;(x-1)+i\cdot y\;$$

Following that I would say that the coordinates of the origin of z are (x-1, 0) but the book draws the origin of the line at (x+1, 0)

Can someone enlighten me on this?