Welcome to the Airtable community!
Responses to a form populate the table/grid to which the form belongs. Which of the grid views show the form results depends on the filters set up for the view. If a single table has multiple views, the record created by a form might appear in multiple views. The record created by a view will not show in a different table.
There is no way to copy a form from one table to another. You can, however, copy the fields from one table into a different base by importing the table as a synced table, then unsyncing it. You may need to adjust some field types. You can then recreate the form.