Shifting a Z = F(x,y) on the x and y axis

 I have a 3-D function, basically a 2-D matrix that I use mesh to plot on a range of [-xo:+xo] and [-yo:+yo]. I need a duplicate version of this function but a shifted one on the x and y-axis, so mathematically I need 

 Z = F(X-Xp,Y-Yp)

My ultimate purpose is to add the two versions of Z in the end.

I know how to plot the shifted version but not how to generate an actual one. Check the attached image.