By definition we have: A function is even if, for each x in the domain of f, f (- x) = f (x). The even functions have reflective symmetry through the y-axis. A function is odd if, for each x in the domain of f, f (- x) = - f (x). The odd functions have rotational symmetry of 180º with respect to the origin. For y = -5x ^ (2) -2x + 6 we have: f (-x) = - 5 (-x) ^ (2) -2 (-x) +6 f (-x) = - 5x ^ (2) + 2x + 6 Answer: the function is neither
