Existing measurements of the collision-induced rototranslational absorption spectrum of gaseous mixtures of helium and methane are analyzed using quantum profiles computed from recent interaction potentials and various assumptions concerning the interaction-induced dipole components. The computed profiles are expressed in terms of simple functions that reproduce closely both the computed spectra at temperatures from 40 to 350 K and the existing measurements at temperatures from 150 to 353 K. Such a simple analytical representation of the HeCH₄ rototranslational spectra facilitates accurate modeling of planetary atmospheres in the far-infrared region of the spectrum.