# What is the extreme value of a quadratic function?

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The extreme value of a quadratic function is the highest or lowest point on its graph, depending on whether the quadratic opens upwards or downwards. This point is called the vertex of the quadratic function and can be found using the vertex formula: [ \text{Vertex} = \left( -\frac{b}{2a}, \frac{4ac - b^2}{4a} \right) ] where (a), (b), and (c) are the coefficients of the quadratic function (f(x) = ax^2 + bx + c). If the coefficient (a) is positive, the parabola opens upwards, and the vertex represents the minimum point. If (a) is negative, the parabola opens downwards, and the vertex represents the maximum point.

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