As far as I'm aware (but I do not keep up with Vizio) Vizio does not support screen mirroring. They have what they call second screen, which is just certain apps, like Netflix, that can play on the TV and be controlled by your phone.
If he wants screen mirroring, he can get a chromecast cheap enough, which does screen mirror with a Note 3. I use it all the time. Or he could get an allshare hub, which I assume is more expensive than a chromecast and will mirror from Samsung phones and tablets that support allshare.
If he just wants to watch movies that reside on his phone (not mirroring), he may be able to use DLNA. There are a number of apps in the Play Store that will send movies to a smart TV.