"Latent growth models (LGMs) are a special class of confirmatory factor analysis models used specifically to model trajectories over time. These trajectories in most cases are linear, but can encompass other trajectories such as a quadratic slope or even slopes that are freely varying."
Lin, J. (2021, August 16). Latent growth models and measurement invariance with R in lavaan [video file]. Retreived from https://stats.oarc.ucla.edu/r/seminars/lgm/#s1