These are printed out by the voting machine after you vote in person. They’re the paper record of your vote and the only way to audit.
Are you sure? It was my understanding it was that actual ballot.
There has been evidence presented that the bar code info on those printed ballots, that only the computer can read, may not match the written name on the ballot, giving a false impression to the naked eye of how the vote was actually counted, or would be recounted by computer. That's why some of these places have gone so far as to basically outlaw hand recounts.