* 5-speed manual: This was a standard option on many trims.
* 6-speed PowerShift dual-clutch automatic: This was also available on several trims. (Note that this transmission had some known reliability issues in earlier model years; however, improvements were made over time, and whether those issues still significantly affected 2014 models is debatable and depends on maintenance.)
To know for sure what transmission a specific 2014 Ford Fiesta has, you'd need to check the vehicle's documentation (owner's manual or window sticker) or its Vehicle Identification Number (VIN).
