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Parabolas : Concave Up and Concave Down

What does a parabola open upward and when does it open downward? Please give an example.

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For a function y=ax^2+bx+c where a is NOT zero, the graph is a ...

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Parabolas, Concave Up and Concave Down are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.