While the IRS requires you to file Form 4868 in order to request a tax extension, each state has its own requirements for obtaining a similar extension. Some states such as California offer automatic extensions to all taxpayers, while other states require you to file a specific form by the original due date of the return.
If you used TurboTax Easy Extension, TurboTax will file your state extension as well, if required and you have your state information entered. You can check your state's extension requirements at your state's Department of Revenue.
State Tax Extensions