Hello @lynn_4910,
Unless you take specific action to save an image, they are not saved. You have various options including downloading the image to you local computer or to your creative cloud library, favouriting the image which stores the image along with the prompts and styles used to generate it in your browser cache, or by getting a URL link which takes you back to the generation page with the prompts and styles. If you do not take one of these actions, I am afraid the image is lost.
You can see the prompts/generations in your current session by pressing this button:

But this is only the current session and is not permanent storage.
It has been a frequent suggestion that prompts and images be automatically saved. I recommend you look at these posts and upvote the one(s) you would like to see:
History of text prompts
P: History of Previous Generated Images
Personal archive
These references might be helpful on what steps you can take to save creations:
My best,
droopy