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Question

The parabola representing a quadratic polynomial f(x) = ax2 + bx + c opens downward when __________.

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Solution

Let f(x) = ax2 + bx + c

When a > 0, the parabola representing f(x) opens upward.
​When a < 0, the parabola representing f(x) opens downward.

Hence, the parabola representing a quadratic polynomial f(x) = ax2 + bx + c opens downward when a is negative.

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