Jasmine vine grew last year. The vine is growing back at the bottom. Do I need to cut the vine down from last year's vines or will the vine come back to life?
Let's start with some basic jasmine growing tips: https://www.gardeningknowhow.com/ornamental/flowers/jasmine/growing-jasmine-plants.htm
I take it that your jasmine was cold damaged last winter, and is now growing back from the roots. If the higher vines have died, they won't come back to life; if there's life still in them, they should have sent out shoots by now, but you can test them by breaking or cutting them. If they're all brown and crispy, they're dead. If they're pliable and have green tissues at all, they're alive. Go ahead and cut off the dead vines.