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Local galaxies from the Sloan Digital Sky Survey (SDSS) are used to provide additional support for an evolutionary pathway in which active galactic nucleus activity is associated with star formation quenching. Composite, Seyfert 2, and LINER galaxies account for ∼60 per cent of all star formation in massive galaxies (M ⋆ > 1010.5 M⊙). Inclusion of these galaxies results in a 'turnover' in the star formation rate and stellar mass (SFR− M ⋆) relation for massive galaxies. Our analysis shows that bulge growth has already occurred in the most massive galaxies (M ⋆ > 1010.5 M⊙), and bulges continue to grow as galaxies quench and redden, (g − r)  = 0.5 → 0.75. Significant bulge growth is also occurring in low mass starburst galaxies (M ⋆ < 1010.5 M⊙) at 0.5 dex above the 'main sequence' (MS), where we find an increase in B/T from 0.1 → 0.3 and bluer colours, (g − r) < 0.25 compared to low-mass galaxies on the MS. [ABSTRACT FROM AUTHOR]