Replotting XY Data

I have a shapefile containing points. These points were successfully plotted using X and Y coordinates from the attribute table. I have just been given new coordinates for these points and I have already updated the attribute table with the new X and Y data.

Any idea on how I can replot the XY data so the points on my map reflect the new coordinates in the attribute table? I was hoping ArcMap 10.2 would automatically replot them for me but it doesn't.