Q.Mandevilla
I planted a mandevilla and at the end of the fall cut the plant back to the ground. Will the mandevilla grow when the temps rise in the spring?

What zone are you growing in?
Mandevilla are hardy in zones 9 - 11.
The plants will not survive in a colder zone and should be brought indoors when temperatures drop below 50 degrees F.
In warmer climates the plant will generally can be trimmed back in the winter about 6 weeks before the last frost. This will help produce a nice bushy plant.
Trimming of the vine all summer can help keep it in control.
Every 2 to 3 years you can trim the plant back to the ground to reinvigorate the plant.
If you are in zone 8 or colder, your plant may not have survived.
If you are in zone 9 or warmer, you plant should began to grow when the weather warms.
https://www.gardeningknowhow.com/ornamental/vines/mandevilla/winterizing-mandevillas.htm
https://www.gardeningknowhow.com/ornamental/vines/mandevilla/mandevilla-plant.htm