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When graphing a parabolic equation, what steps do you take? How do you tell if the arc opens up or down?

When graphing a parabolic equation, what steps do you take?  How do you tell if the arc opens up or down?


If I have a quadratic equation (y = x^2 - 2x - 8)) that graphs to a parabola with a minimum value at the vertex (1, -9), how would you find the maximum value for the equation?

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