A quadratic function f(x) reaches a minimum value of -16 when x = 2 and the graph of f(x) passes through the x-axis at 6 and -2. Which of these are equivalent forms of the function f(x) ? Choose all that are correct.
A . f(x) = x ^ 2 - 4x - 12
B. f(x) = (x - 2) ^ 2 - 16
C. f(x) = (x - 2)(x + 16)
D. f(x) = (x - 6)(x - 2)
E. f(x) = (x - 6) ^ 2 + 2
F. f(x) = x ^ 2 - 8x + 12