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The function h(x) = -\frac{1}{2}(x - 4)^2 + 3 represents the height of a bird y over time x, as it flies...

The function h(x) = -\frac{1}{2}(x - 4)^2 + 3 represents the height of a bird y over time x, as it flies past the school. What point on the graph represents the greatest height of the bird above the ground?
A. (4, 3)
B. (3, 4)
C. \left(\frac{1}{2}, 4\right)
D. \left(3, \frac{1}{2}\right)

Answer

The function h(x) = -\frac{1}{2}(x - 4)^2 + 3 is in vertex form, where the vertex (h, k) represents the maximum point of the parabola since the coefficient of the squared term is negative. The vertex is (4, 3), which represents the greatest height of the bird above the ground.

  1. A. (4, 3)

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