Is there any way to figure out if your outdoor faucet is frost free?
When you turn the water off does it dribble for a few seconds like a 6 or 8" pipe back in the wall. The absolute way would be to pull the valve stem but this requires turning the water off.  Looking at your faucet it is a frost free. The valve seat is usually inside the wall with the supply pipe, this is how I have seen and plumbed them. Makes a hell of a mess when they break but if the home is heated that almost never happens. Some go into the crawl space these were put in by some sick puppies in my area they freeze under the house to fix swimming in ice mud. Note keep your valves open on that Y or the water gets stuck and will break the pipe with a good freeze.