Hi Samantha_Gagliano,
We appreciate you reaching out to us. We understand that you recorded a video on Photo Booth but it disappeared.
We’d like to gather additional details that may help us be in a better position to assist you.
If you open Photo Booth, are you not able to see the recording at the bottom part of Photo Booth?
Are you able to record new short videos?
How long is the video that you recorded?
How much available storage do you have left?
We'd like to set your expectations. Based on how you described the issue, it sounds like your recording may not have been saved.
If it wasn't saved, recovering the recording is not possible.
If it was saved, and it disappeared.
It may be possible for you to recover it through a Time Machine backup.
Restore items backed up with Time Machine on Mac
Take care!