Answer:
The vertex of this parabola is (1, 14).
Step-by-step explanation:
To find the vertex of this parabola, one approach is to determine the equation of the axis of symmetry: evaluate x = -b / (2a), where a, b and c are the coefficients of the x^2, x and x^0 terms respectively.
Here a = -2, b = 4 and c = 12.
Thus, the axis of symmetry is x = -4 / (2· -2), or x = 1.
The function value at x = 1 is y = -2(1)^2 + 4(1) + 12, or y = -2 + 4 + 12 = 14.
The vertex of this parabola is (1, 14).
