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Question

If $$a < 0$$, then the function $$f(x) = ax^2 + bx + c$$ has


A
maximum value
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B
minimum value
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C
constant value
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D
positive value
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Solution

The correct option is D maximum value
The graph of a quadratic equation is parabola.
If $$a < 0$$, then the parabola opens downward. If the parabola opens downward, then the vertex is the point whose $$y$$-value is the maximum value of $$f$$

Mathematics

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