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Finding the Maximum or Minimum Value of
To find the maximum or minimum value of the quadratic equation , determine the vertex of its parabola. Since the coefficient is negative, the parabola opens downward, meaning it has a maximum value. The axis of symmetry is . Substitute into the equation to find the -coordinate: . The vertex is (2, 5). Therefore, the maximum value of the quadratic equation is 5, which occurs at .
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Ch.10 Quadratic Equations - Elementary Algebra @ OpenStax
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Finding the Maximum or Minimum Value of
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A logistics coordinator uses the equation y = -4x^2 + 16x - 11 to model the fuel efficiency of a delivery truck at different speeds. Which property of this equation indicates that the fuel efficiency reaches a maximum value rather than a minimum value?
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