Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 − 6x + 6?

Complete the square: x² − 6x + 6 = (x − 3)² − 3. The term (x − 3)² shifts the graph 3 units right, and −3 shifts it 3 units down, so the correct choice is right 3 units, down 3 units.

AI-written and checked against the verified answer.