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Question
The parabola representing a quadratic polynomial f(x) = ax2 + bx + c opens upward when ______.
Fill in the Blanks
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Solution
The parabola representing a quadratic polynomial f(x) = ax2 + bx + c opens upward when a > 0.
Explanation:
The sign of the leading coefficient a determines the parabola’s concavity, if a > 0 the parabola is concave up (opens upward) and its vertex is a minimum; if a < 0 it is concave down (opens downward).
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