How long would it take for my hair to grow 2 inches?

Well, you're hair grows about a cm every month... But when your hair is dye, it may take longer. Stick to natural dyes (e.g., Natural Instincts) and it leaves you hair feeling healthy unlike bleaches and other harsh dyes. Take care of your hair by putting leave in conditioner and serums. Go to Ulta and they will help you choose which are the best for your hair type, etc.