The factors of the expression are : y = (x - 2)(x - 6) The x-intercepts are found by putting y = 0. Therefore the x-intercepts are at (2, 0) and (6, 0).
The x value of the vertex is (2 + 6)/2 = 4. f(4) = 16 -32 +12 = -4. The coordinates of the vertex are (4, -4).