09 Impala Battery Keeps Dying. Asked by Coty Nov 14, 2018 at 11:26 PM about the 2009 Chevrolet Impala LTZ FWD. Question type: Maintenance & Repair. I have a 2009 Chevy Impala LTZ. I got a new battery about 2 months ago but recently my car has been dying. anytime I turn it off for more than a little bit at a time. I know my battery and. There are a few reasons that your car battery could keep dying even if your alternator is good. The most common explanation is that you have a bad battery. It doesn't matter how much juice your alternator is pumping into your battery if it can't hold a charge. You also might have something that is drawing power after you shut off the engine.