Q: Why does my iPhone 5 take blury photos with the back camera?

I would inspect the back camera and check for any fingerprints or any other foreign material coated to the lens. Try rubbing the lens with a soft cloth to remove any residue. Also note that zoomed pictures may have a "blurred" look because of the digital zoom capabilities. Try taking a closeup of a stationary object like a flower or plant without zooming and look at the quality. If you are still having problems, set up a Genius Bar appointment at an Apple Store to have the issue diagnosed.