 For two weird reasons, your headache isn't going away. Rebound headaches happen when you take too many headache medications too often, up for alternative relief like any of these. Foods like processed meats, pizza, and diet sodas have ingredients in them that are known headache triggers. Although one in six people get migraines, half of them don't even realize it. Knowing what type of headache you're having is key to proper prevention and treatment.