How do I change where the responses are sent? Can the response to different forms be sent to different addresses?

Hello rebyaffe,

Yes it is possible to achieve your requirement. 

To change the email address which is used to receive the submission emails, you should actually change the "Recipient Email" address of your form's notification email alert. The following guide should help you:  http://www.jotform.com/help/41-Finding-out-E-mail-Address-used-for-submission-notifications 

Hope this helps.

Do get back to us if you have any questions.

Thank you!