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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?

Verified Answer :

The minimum height occurs at the vertex of the parabola, which is at \((60,8)\), so this height would be \(8\).

The maximum height occurs at the bridge supports. Since \(x\) represents the distance from the supports, this height occurs when \(x=0\), which gives \(y=0.005(0-60)^2+8=26\).

Answer:

D. maximum height = 26 feet and minimum height = 8 feet

Step-by-step explanation:

correct :))