How can I obtain a unit vector of a shifted spherical system?

Question

I hope that I can explain myself clear enough, Assuming I have a sphere that has been moved down in the $Z$-axis. I know that r unit vector when the sphere is not shifted can be expressed as: $x\,\sin\theta\,\cos\varphi+y\,\sin\theta\,\sin\varphi+z\,\cos\theta$ where $x,y,z $ and the cartesian unit vectors. But how can I obtain r unit vector over the surface of the sphere in a situation when the sphere has been shifted? like in the picture i added?