To graph the equation y' = y - x + 1 on a TI-Nspire CX CAS, users are experiencing difficulties with inputting the function correctly. One suggested solution is to ensure that the window coordinates are properly defined to allow the graph to display. There are mentions of tracing the function to see if it appears on the screen. However, some users report that even after following the correct steps, the graph does not show up consistently, with one user noting that they were able to graph it once but could not replicate the success after closing the document. This indicates potential issues with settings or input methods that need to be addressed for successful graphing.