Does the filed extensions on here cover the federal, state, and city?

[Hal_Al]

Depends on the state and city. Generally yes. You attach a copy of the federal extension, when you file your state and city return.  

[tealover2019]

So do I need to print off the extension and send? Sorry this is my first time doing this. I am located in Ohio

[Hal_Al]

Ohio does not require a separate extension, nor do Ohio cities. Do not print off the extension and send it to the state and city.  If you mail a paper return, when you file, then you attach a copy of the federal extension request or approval.  If you e-file state, there is a box on Ohio form IT1040 that TurboTax (TT) will check that states you filed a federal extension.  The RITA (and probably most other city) forms also have the check box, but you still need to attach a copy, since city returns cannot be e-filed from TT