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Byju's Answer
Standard XII
Mathematics
First Derivative Test for Local Maximum
The parabola ...
Question
The parabola representing a quadratic polynomial f(x) = ax
2
+ bx + c opens upward when _________.
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Solution
Let f(x) = ax
2
+ 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) = ax
2
+ bx + c opens upward when
a is positive
.
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