My iPhone 6 keeps randomly turning of?

I bought an iPhone 6 16gb from an apple store in South Australia about 2 and a half weeks ago. A ear lie this week i went on a school camp and left my phone at home. I thought i turned it off but i must have forgotten because when i got back it was flat. So i plugged it in as usual. When it was charged I decided to update to IOS 8.02 or what ever the latest one is. And even since then every time i let my phone go to sleep for more than about two minutes, it shuts off (even with 100% battery) and the only way i can get it to turn back on is to hold down the home and on/off buttons for about 10 seconds and then press the on/off button again. I've tried letting the battery run down to 0% and charge it back up to 100% but that did nothing. Has anyone else experienced anything like this? And how can i fix it?

That's what happens when you have a iPhone they are **** but because everyone want the nice expensive phone that's what they get an better phone which do the same **** as an iPhone like LG or Samsung

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