Some dictionaries list hyphenated words as though they contained no punctuation.
When you are writing the word abbreviate and you come to the end of the line and write "abbrev-iate" this is an example of a time when you hyphenated the word.
When your last name is Jones and you get married to Mr. Smith and your name becomes Mrs. Jones-Smith, this is an example of a time when you hyphenated your name.
"[The Community Newspaper] is one of the many symbolic emblems that stand for the other half of the hyphenated American’s identity." Hyphenated Americans Must Look At Their Mirror -- The Community Newspaper -- To Do What Is Right, October 28, 2005.
A hyphenated adjective.
Compounding the word looked wrong, so I hyphenated it instead.
A hyphenated American.