Where is the power steering on a 2007 chevy cobalt

The picture should be your power steering shaft, you see the motor on the side in the picture. You have EPS/ electronic power steering. You don't have hydraulic power steering, no power steering pump. You can check applicable trouble codes and wiring diagrams--technical service bulletins. My database is off line today for some reason, so I can't help. Good luck

Well, I did find a wiring diagram. You can see the two fuses, you can check those. Also, check for voltage at those fuses, use a test light, one fuse is hot all the time. The other fuse goes hot with key on. You can see two wires at steering motor, one is voltage, the other should be ground, but, the motor reverses, so the wires switch between voltage and ground, depending which direction you turn the wheel. If you could find any applicable trouble codes, that might help?