Is there any way I can connect my iphone 5 to my tv?

I have a Vizio tv. What can I use to connect it and be able to run Netflix on my tv

Easiest way is through Apple TV. You connect the device to your TV via HDMI, and also connect to a Wi-Fi or ethernet network and you're set. Apple TV allows you to stream, youtube, music, Netflix, Hulu Plus, etc. It's essentially smart TV from apple. The great thing is that you can actually use your phone as a remote for it with a free app called "Remote", and you can actually mirror your phone to the TV, so literally what you see on your phone you can display on the TV. The device is $100.