Since this question in under "Beginning Algebra", I doubt that you've had Calculus.
If the \(\displaystyle a\) (coefficient of the \(\displaystyle x^2\)-term) is positive, the parabola opens upward: \(\displaystyle \cup\) . . It has a minimum point.
If the \(\displaystyle a\) is negative, the parabola opens downward: \(\displaystyle \cap\) . . It has a maximum point.
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