  We investigate boundedness of hyperbolic components in the moduli space of
Newton maps. For quartic maps, (i) we prove hyperbolic components possessing
two distinct attracting cycles each of period at least two are bounded, and
(ii) we characterize the possible points on the boundary at infinity for some
other types of hyperbolic components. For general maps, we prove hyperbolic
components whose elements have fixed superattracting basins mapping by degree
at least three are unbounded.
