Help all you photography experts!

I have a new Panasonic Lumix 10x zoom camera. It takes amazing photos - outside. Inside where I often take pics of Izzy the photos always end up dark in the background and she is over exposed. It is a fairly well lit room. What can I do to take better photos?? Ive tried being futher away from her and zooming in, or turning the light on.

There is a function for exposure on it - going from 0- up and 0 down into negative but the instructions dont really explain how that works.

TIA