Question

The height of an acrobat who jumps from a trampoline 2 feet in the air is modeled by the function: y = -16x^2 + 16x + 12, where x is the time in the seconds after the acrobat jumps. 1: Find the maximum height of the acrobat. 2: Find how long it takes to reach that height. 3: Find how long the acrobat is in the air. 4: Find the acrobat's highest point.

Thanks for answering.

Answer 1

change your equation to vertex form and all mysteries shall be revealed to you.

Answer 2

Maximum height: 16ft
Time to reach that height: 1 second
Time in the air: 2 seconds
Highest distance from trampoline: 4ft

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