If the trajectory of a body is parabolic in one frame, can it be parabolic in another frame that moves with a constant velocity with respect to the first frame? If not, what can it be?

Explanation

Yes . According to Newton's first law, a body at rest or a body moving with uniform velo-city are treated as same . Both of them belong to inertial frame of reference .
If a frame (say 1) is moving with uniform velocity with respect to other , then that second frame must be at rest or it main-tains a constant velocity w.r.t the first . So both frames are inertial frames . So if trajec-tory of body in one frame is a parabola , then trajectory fo that body in another frame is also a parabola .