Can i be fired for having blue hair?

im 16, i work at a nursery home where i take care of plants and water them help customers, and all that kinds of stuff, mostly theres people my age that work there. last night i dyed my bangs turquoise and my parents sure don't like it, but i don't care. what kind of bothers me is my job, i mean, can i be fired? i work on thursday, so i need to know before then so i can do something about it. please help?