To find where it goes:
1. Identify your transmission type: Check your vehicle's documentation or look for a tag on the transmission itself. This will narrow down the possibilities.
2. Follow the hose: Carefully trace the vacuum hose from the transmission. It should lead to a small vacuum canister or valve on the transmission or nearby. This is likely the modulator.
3. Consult a repair manual: A repair manual specific to your year, make, model, and transmission will have diagrams showing the exact routing of all vacuum lines. This is the most reliable method. Online resources like Chilton or Haynes manuals may be helpful.
4. Look for diagrams online: Searching online for "[your transmission type] vacuum modulator diagram" might yield helpful images. Be cautious, though, as not all diagrams are accurate for all variations of a given transmission.
Important Note: If you're working on this system, be careful. Incorrect vacuum routing can cause poor shifting, transmission damage, or even engine problems. If you're unsure, it's best to consult a qualified mechanic.