A simple approach to get your parents to go out is to purchase them movie or concert tickets and tell them that these are the only ones left. They won't be able to compel you to accompany them this way. Tell them that they have cost you a lot of money as well, so that they are sensitive and would not deny your idea. This method has worked for many teenagers across the world. Tell them that you need to get out of the house for some time because you're going through a bad phase and need to get away from everything. If they ask why you need to get away, tell them that you're trying to figure things out and will come back when you're ready. This method will help them understand what's wrong with you without hurting your feelings. Last but not the least, don't forget to show them love and respect. Tell them every day how much you appreciate them even though you may not show it at times. This will make them feel important and will help create a positive environment in the house. If any of these methods work for you, then you should try them again after some time. Sometimes people feel embarrassed to ask for favors or need to get out of the house for some time, so giving them a second chance will help resolve the issue quickly.