Izumi's quirk ended up developing at the age 14 but her mom and her were already prepared to move to Yokohama for some time. And yes, Izumi did not think twice before running into trouble and now she is surrounded by a bunch of 'weirdos'. And after a few months of training, Izumi is ready for UA. Of course, let's not forget to traumatize the heroes and villains. Disclaimer: I do not own the pictures and the anime