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U3L1A1QuadraticsAssignment.pdf 1 / 2 - 172% Quadratics Assignment Match each graph to one of the following functions without using a graphing utility. A: f(x) =
U3L1A1QuadraticsAssignment.pdf 1 / 2 - 172% Quadratics Assignment Match each graph to one of the following functions without using a graphing utility. A: f(x) = x2 - 1 B. f(x) = -x2 - 1 C. f(x) = x2 - 2x + 2 D: f(x) =x2 + 2x 1. 2 . 3. 4. Determine the vertex and axis of symmetry of the following quadratics. 5. f(x) = 2(x - 3)2 - 1 6. F(x) = x2 + 4x + 3U3L1A1QuadraticsAssignment.pdf 2 / 2 129% + Graph each quadratic by hand. Show the following as part of your work: a. Determine if the graph opens up or down. b. Find the vertex c. Find the axis of symmetry. d. Find the x-intercept(s). e. Find the y-intercept. 7. f(x) = x2 - 6x + 5 8. F(x) = -4(x + 1)2 + 4 9. Suppose the manufacturer of a clothes washer has found that, when the unit price is p dollars, the revenue R is R(p) = -4p2 + 4000p. What unit price should be established for the washer to maximize the revenue? (Hint: The vertex of a parabola is the maximum or minimum.) 10. The function R(x) = -0.0065x2 + 0.23x + 8.47 models the American marriage rate R (the number of marriages per 100 population) x years after 1960. Based on this function, in what year was the marriage rate the highest? (Hint: The vertex of a parabola is the maximum or minimum.)
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