Apple iphone screen unresponsive?

I won't go into specific details as to how it broke but it hit the wall. A small piece of glass came off. The phone is still responsive, as I can hear the texts and the phone screen lights up. The screen however are vertical lines and different colors. Is it fixable?

Fixable? No, you can't fix a shattered screen, it's like fixing a broken window. It is however replaceable, simply get a screen replacement (digitiser & glass), the digitiser is the actual screen that displays everything and responds to your touch, the glass is simply a cover to protect it.

If it is under warranty then Apple will do it for free, if not then they will charge, the price will depend on where you live. I highly recommend staying away from 3rd party repair shops as there are many dodgy ones out there who end up making it worse. There was someone who came here not long ago explaining that the repair shop didn't actually fix the problem and they glued the screen down which made it even harder and more expensive to repair.