What is the vertex of the graph of the function below?

y = x2 - 8x + 12

A. (2, 0)

B. (4, - 4)

C. (4, 0)

D. (2, - 4)

If y=0

0=x²-8x+12

0 = (x-6) (x-2) →x=6 or x=2

(2,0) or (6,0)

the answer is A

Since y = x2 - 8x + 12 is a quadratic equation, it is the same of y=ax²+bx+c

the main formula of the vertex is x = - b/2a, and y=f (-b/2a)

for our case x = - (-8) / 2=4, and f (4) = - 4

the answer is B. (4, - 4)