Does Medicaid cover assisted living?

my mother has been living by herself she is 95 years old, She can get along well. Recently she fractured her shoulder falling off our stoop. She is now living with my wife and myself and my wife has been taking care of her, thank god for my wife.She is going thru therapy 3 times a week .After therapy she will return home. We are trying to get her some home care and then we will look at long range for possible assisted living. How do we do the right thing by possible placing her in a assisted living or a nursing home . Thank You