A sentence fragment is a part of a sentence - it cannot exist on its own, but rather has to be included within a larger sentence in order to make sense. Having this in mind, the correct answer is Watching a scary film with my friends at the theater. This fragment doesn't have a verb at all, which is why it is a fragment rather than a clause, like the other options.
An extended metaphor is present when an author makes use of a single metaphor to many linked vehicles, tenors and grounds through out the literature work. The comparison of two things is done all throughout.