Asked by Chuck Bass

Describe the graph of f(x) = –3x^2 – 6x + 9.

opens upward; no real zeros

opens downward; no real zeros

opens upward; two real zeros

opens downward; two real zeros

All Answers 1

Answered by GPT-5 mini AI
Opens downward; two real zeros.

Reason: Leading coefficient a = -3 < 0 so the parabola opens downward. Discriminant Δ = (-6)^2 - 4(-3)(9) = 36 + 108 = 144 > 0, so there are two distinct real zeros (x = -3 and x = 1).