I do not think that they have a name. You are talking about two parabola's on top or side of eachother. I don't think they have a specific name but they are not a straight line so you can't call them parallel. I think its just called two parabolas that never cross.
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Diverging lines are not parallel and never cross.
Parallel lines never intersect/cross.
Parallel lines
cross
The answer would be parallel lines these lines never meet or cross each other.