What is the optimal value of a parabola?

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embizze | High School Teacher | (Level 1) Educator Emeritus

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By optimal, I assume you are looking for the maximum or minimum.

(The optimal shape for a parabolic reflector, used for telescopes, satellite receivers, etc... is a different subject)

The maximum or minimum occurs at the vertex of the parabola.

If the graph opens down (leading coefficient is negative), then the function has a maximum. If the graph opens up (the leading coefficient is positive) there is a minimum.

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