Facilitated diffusion does not utilize ATP energy and osmosis does. Molecules, atoms, etc move from a high concentration to a low concentration in facilitated diffusion and from low to high concentration in active transport. This was a poor question and was a little confusing but there were still correct answers. This is the enfolding of the membrane forming vacuoles. See the diagram in the text.
Receptor mediated endocytosis is used by the cell to gather and being atoms.