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Finding the Maximum or Minimum Value of
To find the maximum or minimum value of the quadratic equation , find the vertex of its parabola.
Since the coefficient is positive, the parabola opens upward, so it has a minimum value. The axis of symmetry is . Substitute into the equation to find the -coordinate: . The vertex is .
Therefore, the minimum value of the quadratic equation is , which occurs at .
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Ch.10 Quadratic Equations - Elementary Algebra @ OpenStax
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