When you're ready to take a survey off your website, you'll want to "Pause" it. To do this, navigate to your dashboard and locate the survey you'd like to pause. Click on the "Options" button and select the "Pause" option from the drop down.
Once the survey is paused, it will no longer show up on your website. If you no longer need to access a survey or any of its data, you can also archive it.
When you're ready to turn your survey back on, go to the same drop-down, and choose the "Enable" option. Your survey will start showing up on your website, following whatever targeting settings you have chosen.