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Homework Quiz 5

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Q 1. D. (1,13) Find the coordinates of the vertex for the parabola defined by f(x) = -7x2 + 14x + 6. 2. D. maximum (1/2, -13/2) Find the coordinates of the minimum or maximum point for the given quadratic function f(x) = -2x2 + 2x - 7. 3. C. The maximum euphoria obtained from drinking alcohol occurs when BAL is around 0.055. 4. B. 50

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1.x-coordinate = -b/2a = -14/2(-7) = -14/-14 = 1 y-coordinate = f(1) = -7(1)2 + 14(1) + 6 = -7 + 14 + 6 = 13 Vertex: (1,13) 2.a = -2, a<0; the parabola bas a maximum value x-coordinate = -b/2a = -2/2(-2) = -2/-4 = 1/2 (location of the maximum) y-coordinate = f(1/2) = -2(1/2)2 + 2(1/2) – 7 = -2(1/4) + 1 – 7 = -1/2 + 1 – 7 = -13/2 (maximum value)