2010 Prius III, 189k "check hybrid system"

Diagnostic codes tell the tale. Got them?

 

maybe they didn't make good connections at the battery.

 

If the new battery was not fully charged and you only drive short distances the battery has not been able to fully charge. Check the 12V battery voltage after sitting overnight (should be 12.5-12.8V) and, without making it Ready, turn on your headlights and measure the voltage again. If less than 12V you need to fully charge the new battery.

 

Also, best to do this measurement with a digital multimeter. If the car has a Multi Function Display, I believe it's possible to display the 12 volt battery's voltage on one of the screens, but it's accuracy is dubious. Checking at the jump point (under the hood) seems to give more-or-less the same result as directly measuring at the battery posts.

It's best practice with new batteries to hook them up to a smart charger, charge them fully, just before install. But dealership more-n-likely doesn't do this, doesn't have the time/inclination. Not doing this is normally ok, but if a battery's been sitting at their place for inordinately long time, might be a problem.