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Importance of the vertex of a function

What is an actual example of when it would be important to determine the vertex of a function?

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A standard form for a quadratic function (not a quadratic equation) is
<br> y = ax^2 + bx + c
<br>where a, b, and c are constants and a is not zero.
<br>The graph of this function is a parabola, either opening up (if a is positive) or opening down (if a is negative). If the parabola opens up, then the quadratic function has a minimum, which occurs at the vertex of the parabola. If the parabola opens down, then the quadratic ...

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A discussion about the importance of the vertex of a function.