Key light blinking on dashboard

Hello, my name is Shannon, I have the car listed above G4. A key was blinking on my dashboard. So, I changed the battery in my key fob and the key went away on my dashboard. So, if the blinking key light was for the security system and not the battery in the key fob would the key light still be on the dashboard? The light started blinking last Sunday and I just changed the battery yesterday.