We have the following equation: j (x) = x2 - 12x + 7 We match zero: x2 - 12x + 7 = 0 We pass the constant term to the right: x2 - 12x = -7 We complete square: (b / 2) ^ 2 = (-12/2) ^ 2 = (-6) ^ 2 = 36 x2 - 12x + 36 = -7 + 36 x2 - 12x + 36 = 29 The equation in the form of vertex is: (x-6) ^ 2 = 29 The vertice is: (6, -29) Answer: the correct vertex form is: (x-6) ^ 2 = 29 the vertex is: (6, -29)