Normally, if nothing has changed since the last time you graphed equations, displaying the graph screen will simply cause your graph to load instantly, there is no redrawing.
In Ti-Basic, something like "1->Y1" will cause DispGraph to redraw the entire graph. But it's not the most optimized way. Is there anything faster? A cookie and a bag of peanuts goes to the helpful person who gives me the fastest, most optimized command to force a graph redraw upon reaching the command DispGraph.
Thanks, everyone!