How can I publish my form?

You may share the link to your form so your users can submit it: https://www.jotform.com/help/401-Where-to-Find-My-Form-URL

If you need to embed it on your website, then you could refer to this guide that will help you deciding which embed method you could use: https://www.jotform.com/help/67-Which-Form-Embed-Code-Should-I-Use 

I hope this helps.