Question

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

Answer 1

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

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).