Question

On a windy morning, a hot air balloon starts rising and flying away from the top of a hill. The altitude, h, in feet, of the balloon x hours after starting its ascent from the hill can be modeled by the function h(x)=-16x^2+64x+80

Part D: After how many hours will the balloon reach its maximum height?

Answer 1

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The maximum height of the balloon is 80 feet

Explanation:

h(x) = -16x² + 64x + 80

• here x represent the time of balloon
• and h represent height

while y intercept in the function will take place when

x = 0 so here we will assume the value of x as 0

to find the maximum height

-16(0)² + 64(0) + 80

0 + 0 + 80

80 feet