Filing a federal extension doesn't automatically extend the state. It depends on the state. Here's a page that has a bit more detail on state extensions. Just remember, extensions give you more time to file your return, not more time to pay any balance due you might have.
https://turbotax.intuit.com/tax-tips/tax-extensions/how-to-file-for-an-extension-of-state-taxes/L6Fm...
