Pull up any weeds near the transplanted vine. Weeds compete with the vine for water and nutrients and weaken it. If you can't pull them out by hand, cultivate the soil with a garden hoe, but take care not to cut up the transplant.
Mix a 12-12-12 water-soluble fertilizer in 1 gallon of water. Pour it on the soil around the transplant.
Continue watering the transplant with 1 inch of water a week. If you get that much rain, supplemental watering is not necessary.
Lay a 1-inch layer of mulch on the soil around the vine. The mulch keeps down weeds and helps the soil retain moisture.