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

Question

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