Problem 5 (Quadratic functions) Justify all your answers. A hot air balloon takes off from the edge of a plateau. Impose

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Problem 5 Quadratic Functions Justify All Your Answers A Hot Air Balloon Takes Off From The Edge Of A Plateau Impose 1 (47.97 KiB) Viewed 22 times

Problem 5 (Quadratic functions) Justify all your answers. A hot air balloon takes off from the edge of a plateau. Impose a coordinate system as pictured below and assume that the path the balloon follows is the graph of the quadratic function f(x) = -2x2 + 12x The land drops at a constant incline from the plateau at the rate of 1 vertical foot for each 2 horizontal feet. Answer the following questions: (a) Find a linear function g(x) that describes how much the ground inclines, where x is the distance from the takeoff. (b) What is the maximum height of the balloon above plateau level? (c) What is the maximum height of the balloon above ground level? (d) Where does the balloon land on the ground? height above plateau (feet) balloon takeoff horizontal distance from launch (feet) ground incline