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Minimum or Maximum Value of a Quadratic Equation
The minimum or maximum value of a quadratic equation corresponds to the -coordinate of the vertex of its graph. Because the vertex is the lowest or highest point on the parabola:
- The -coordinate of the vertex is the minimum value of the quadratic equation if the parabola opens upward.
- The -coordinate of the vertex is the maximum value of the quadratic equation if the parabola opens downward. Determining the minimum or maximum value simply requires finding the coordinates of the vertex and identifying the -value.
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Ch.10 Quadratic Equations - Elementary Algebra @ OpenStax
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