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Question
The parabola representing a quadratic polynomial f(x) = ax2 + bx + c opens downward when ______.
Fill in the Blanks
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Solution
The parabola representing a quadratic polynomial f(x) = ax2 + bx + c opens downward when a < 0.
Explanation:
The sign of the leading coefficient a determines the concavity; if a is negative then f''(x) = 2a < 0, so the graph is concave down and the vertex is a maximum.
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