What is f (x) = x^2-8 x+12 in vertex form

f (x) = (x - 4) ^2 + 4

Step-by-step explanation:

The "vertex form" is

y - k = a (x - h) ^2

Starting with f (x) = x^2-8 x+12, "complete the square:"

f (x) = x^2-8x + 16 - 16 + 12, or

f (x) = (x - 4) ^2 + 4. Thus, the vertex is (4, 4).