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Using the equation y=ax^2+bx+c to represent a parabola on a graph, which statement is true?
(1) If b is negative, the parabola opens downward.
(2) If a is negative, the parabola opens upwards.
(3) If a is positive, the parabola opens upwards.
(4) If c is negative, the parabola opens downwards.
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