Answered

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4. A new roller coaster is being built, where one of the speed hills ends with the coaster going underground.
The speed hill can be modeled by the function h(t) = -4t² + 24t+21, where h(t) represents the height of
the coaster in meters, after t seconds.
a. Rewrite the function in vertex form using completing the square.
b. What is the maximum height of the coaster during the speed hill?
c. How long does it take for the coaster to reach its maximum height during the speed hill?
d. How long after the speed hill starts will the coaster begin going underground?

Sagot :

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