How can I Create a question with a required answer

I would like to have a form that has a question with a specific required answer. If they do not fill in the exact answer, then they will not be able to submit the form.

My form should look similar to this: http://vermontmenucha.com/reservations.php

Is there any way to do this?

You could set a field as required by clicking on the settings button, and turning on the required property under the general tab: 

You may also capture the entered value and know if it's the one you want to get, for example, you would like the answer "JotForm 123" to be entered on that field, otherwise the form cannot be submitted. 

If the answer is not the one you want, then you could hide the submit button, please check this guide that will provide you more details about it: https://www.jotform.com/help/316-How-to-Show-or-Hide-Fields-Base-on-User-s-Answer 

I hope this helps.