SOLUTION: The height in feet of an acrobat who jumps from a trampoline 10 feet in the air to a large mat on the ground can be modeled by the function f(x)=-8x^2+16x+10, where x is the time i

Question 862688: The height in feet of an acrobat who jumps from a trampoline 10 feet in the air to a large mat on the ground can be modeled by the function f(x)=-8x^2+16x+10, where x is the time in seconds after the acrobat jumps. Graph this function. Find the maximum height of the acrobat and the time it takes to reach this height. Then find how long the acrobat is in the air.
Maximum height :
Time to reach maximum height :
time in the air :
thanks if you can help show all work please!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

When the equation has the form
, the maximum
occurs at , so

Plug this back into the equation to find

The time to reach the maximum height is 1 sec
The maximum height is 18 ft
Here's the plot:

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