My car just shut down completely on 2005 Pontiac Vibe

I have an 05 Pontiac Vibe,iI was sitting in the car with the radio on tried to start it but the car just completely shut down no lights inside at all and tried to start it but nothing. I got a jump it started but it made a shaking vibrating thing, the next day it drove fine, today it started that shaking, vibrating again and the check light is on.

Asked by for the 2005 Pontiac Vibe
This vehicle has several onboard computers, get the diagnostic codes checked in all of them. It's like a person, when were not feeling good, we go to the doctor and they run a few tests to see what our overall condition is, that needs to be done with your car. Once you have that data, a diagnosis can be started based on that info.