Consider the horizontal alignment of the centerline of a road. The centerline is curved with a radius of $200$m on its plan view. The centerline also has a parabolic vertical alignment. This results in a parabola curved in space as it follows the horizontal alignment. Normally the relevant 2D equation for elevation "$Z$" would be $Z=Ax^2+Bx+C$
What is the relevant equation of this "curved" parabola?