Final answer:
Endocytosis and facilitated diffusion require energy, while osmosis does not.
Step-by-step explanation:
The transport processes that require energy are endocytosis and facilitated diffusion. Osmosis does not require energy as it is the passive diffusion of water across a semipermeable membrane. Facilitated diffusion involves the movement of substances from an area of higher to lower concentration using carrier proteins, and endocytosis is the process in which the cell membrane engulfs material, requiring energy in the form of ATP.