The main cable of a suspension bridge forms a parabola modeled by the equation y = a (x - h) 2 + k where y is the height in feet of the cable above the road, x is the horizontal distance in feet from the right bridge support, a is a constant, and (h, k) is the parabola's vertex. What is the maximum and minimum height of the bridge modeled by the equation y = 0.005 (x - 60) 2 + 8?

maximum height = 100 feet and minimum height = 26 feet

maximum height = 100 feet and minimum height = 8 feet

maximum height = 60 feet and minimum height = 26 feet

maximum height = 26 feet and minimum height = 8 feet

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Mathematics

2 March, 08:44

The main cable of a suspension bridge forms a parabola modeled by the equation y = a (x - h) 2 + k where y is the height in feet of the cable above the road, x is the horizontal distance in feet from the right bridge support, a is a constant, and (h, k) is the parabola's vertex. What is the maximum and minimum height of the bridge modeled by the equation y = 0.005 (x - 60) 2 + 8?

maximum height = 100 feet and minimum height = 26 feet

maximum height = 100 feet and minimum height = 8 feet

maximum height = 60 feet and minimum height = 26 feet

maximum height = 26 feet and minimum height = 8 feet

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Answers (1)

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Nadia Allen · Answer 1

The vertex of the given equation is (60, 8).

The minimum height is 8. feet

The maximum height is for x=0

y = 0.005 (x - 60) 2 + 8=0.005*3600+8=26 feet

the answer is maximum height = 26 feet and minimum height = 8 feet