List of PlayStation and PlayStation 2 games compatible with PlayStation 3

This is a list of PlayStation games compatible with all models of PlayStation 3, along with PlayStation 2 games compatible with certain earlier models of PlayStation 3. Initial PlayStation 3 models released in North America, Japan, and Asia contained both the PlayStation 2's CPU and GPU, while subsequent models contained only the GPU, and the PlayStation 2 backwards compatibility with physical discs was removed entirely in later models. However, all PlayStation 3 models can play some PlayStation 1 games via physical discs. This is accomplished entirely via software emulation and does not differ between models.

Question: can you play ps1 and ps2 games on a ps3
Answer: yes