The phrase "to handle the graphics" means to manage or deal with the visual aspects of something, like pictures, designs, or illustrations. Full definition
I've never held a position yet that specifically handles graphic design of jewelry shows, but I am quite interested in jewelry graphic design. (uptowork.com)
The machine is great at multitasking and handles graphics well. (neowin.net)
They only handle graphic novels now and abandoned single issue distribution in 2013. (goodereader.com)