Export your image to a format where the coordinates are numeric and text, good choices are Tiff + world file, BIL/BSQ (EHDR) or Esri ASCII Grid (AAIGRID). If you choose Tiff/world then you will need to destroy the embedded georeference using photoshop/gimp.
Open the world file/header and edit the coordinates. You should be able to calculate the x & y shift needed so just adjust the numbers by the X and Y required but don't change the cell size or rotation. See documentation on the BIL header, ASCII Grid format and Tiff world file.
If you have a large image then ASCII is not a good choice as the header is internal and you'd be opening a huge text file in notepad, use BIL or Tiff instead as the header is external to the image data and easier to edit in notepad.