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Graph f(t) = -16t 2 + 80t + 5 in the graphing calculator using the following window: Xmin: 0

Graph f(t) = -16t 2 + 80t + 5 in the graphing calculator using the following window: Xmin: 0 Xmax: 6 Xscl: 1 Ymin: 0 Ymax: 150 Yscl: 10. Xmin: -500 Xmax: 4000 Xscl: 100 Ymin: -500 Ymax: 750 Yscl: 50.

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Graph f(t) = -16t 2 + 80t + 5 in the graphing calculator using the following window: Xmin: 0

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  1. Graph f(t) = -16t2 + 80t + 5 in the graphing calculator using the following window: Xmin: 0 Xmax: 6 Xscl: 1 Ymin: 0 Ymax: 150 Yscl: 10

  2. Xmin: -500 Xmax: 4000 Xscl: 100 Ymin: -500 Ymax: 750 Yscl: 50

  3. The function h = -16t2 + 128t represents the height of a firework t seconds after it is launched. The firework explodes at its highest point. When does the firework explode? At what height does the firework explode?

  4. The function h(t) = -16t2 + 16t represents the height (in feet) of a horse t seconds after it jumps during a steeplechase. When does the horse reach its maximum height? Can the horse clear a fence that is 3.5 feet tall? How long is the horse in the air?

  5. A store sells about 80 graphing calculators per month for $120 each. For each $6 decrease in price, the store expects to sell eight more calculators. The revenue from calculator sales is given by the function R(n) = (120 – 6n)(80 + 8n), where n is the number of $6 price decreases. How much should the store charge to maximize monthly revenue?

  6. Using a different model, the same store expects to sell five more calculators for each $4 decrease in price. Create a function that represents this new price decrease. Which revenue model results in greater maximum monthly revenue?

  7. The vertex of a parabola is (3,-1) one point on the parabola is (6,8). Find another point on the parabola and justify your answer.

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