Of course for your mom or dad, the activities that the day care center offers will be a big part of their willingness to go there. During football season, if the center just provides a place where elderly men can cheer for the game or have other sports programming available, that is a lot more fun for your dad than sitting alone in his apartment and watching those same sports.
If the day care center has a variety of activities that appeal specifically to each gender and then others that everyone can enjoy such as card games or puzzles, it could be an upbeat and fun place for your parent to pass the day. By spending some time there, you can get a feel for the friendliness of the staff and the general atmosphere of the center to determine if this will be a warm and welcoming place where your parent will have some fun and meet new people or a place where he will feel alone and out of place.
But if you can find a good day care center for your senior citizen, it can take a big load off of your mind. And if you know he is having fun each day and getting out with people, you know that will be healthy for him and be invigorating so he will eat better and sleep better that night. And that solves a lot of problems all at once.