check transmission light

Sounds like a check engine light, I'm not aware of light like you state, but see how it could be confused.

The check engine light needs to be diagnosed. A technician will get the codes from the computer and match those codes to a troubleshooting tree that begins the process.

I just purchased a 2005 Taurus w/ 80K miles. While driving it home from the auction (about 20 miles) the "Check Transmission" message (not a light, but message that displays in the computer readout area that also displays avg MPG's, miles to empty, trip miles, etc.) Message went off after a few minutes, then reappreared. Fluid level checked out OK.
Transmission shifts OK, but does seem to shift a little jerky.

Okay, I gotcha. Still need to see what codes are in the computer that are transmission related.

Transmission shop scanned, and 2 codes showed up: one had TCC in it (something to do with torque converter), and the other was something to do with turbine speed sensor, which they said was set off by the TCC problem. They said it would be about $650 to repair. Car still runs OK.

I recently had the check engine light on. Changed sensors and thermostat. Now the check engine light is off and the check transmission light in on. The car has begun to jerk upon acceleration into 1st and 2nd gear. Car is driving fine other than that issue. Should I have the transmission flushed?

This usually happens when a turbine sensor goes out but th be sure lets run the codes here is a guide to help us get started

https://www.2carpros.com/articles/checking-a-service-engine-soon-or-check-engine-light-on-or-flashing

Please run down this guide and report back.

I had this problem the sensor fixed it FYI cost me $76.00