The VIPERS survey revealed that the number density of massive star-forming galaxies (M*>10^11Msun, D4000<1.55) was five times higher at z~0.8 than it is today. Today I present analysis examining what has happened to these massive star-forming galaxies over the last 8 billion years. Did their SFRs decline gently with time, or have they gone through quenching events, leaving them quiescent? We predict the D4000 evolution of star-forming galaxies using model SFHs derived either empirically from the observed main star-forming sequence (M*-SFR relation) or from simple analytical functions. We then test their ability to reproduce the observed D4000 evolution of massive galaxies over 0