What is f(x) = x2 – 8x + 11 written in vertex form?

Complete the square: x² − 8x + 11 = (x² − 8x + 16) − 16 + 11. The first three terms become (x − 4)², and −16 + 11 = −5, so the vertex form is f(x) = (x − 4)² − 5. This matches choice A.

AI-written and checked against the verified answer.