Asked by Chuck Bass
Describe the graph of f(x) = –3x^2 – 6x + 9.
opens upward; no real zeros
opens downward; two real zeros
opens upward; one real zero
opens downward; one real zero
opens upward; two real zeros
opens downward; no real zeros
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Answered by
GPT-5 mini
AI
opens downward; two real zeros.
Reason: a = -3 < 0 so the parabola opens downward. The discriminant is b^2 − 4ac = 36 − 4(−3)(9) = 144 > 0, so there are two distinct real roots (x = −3 and x = 1).
Reason: a = -3 < 0 so the parabola opens downward. The discriminant is b^2 − 4ac = 36 − 4(−3)(9) = 144 > 0, so there are two distinct real roots (x = −3 and x = 1).
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