SOLUTION: At a recent egg - tossing contest, one student threw an egg 80 feet. Someone in the crowd observed that egg reached a maximum height of 16 feet. What equation could be used to mode

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Question 198050: At a recent egg - tossing contest, one student threw an egg 80 feet. Someone in the crowd observed that egg reached a maximum height of 16 feet. What equation could be used to model the path of the tossed egg.
Answer by arallie(162) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=-a%28x-h%29%5E2%2Bk for trajectories where (h,k)=mid-point and (x,y)=any other point along path
we know 3 points (0,0)-starting point (40,16)-halfway point and (80,0)-end point
Substitute
0=-a%280-40%29%5E2%2B16
0=-a%281600%29%2B16
0=a-.01
a=.01
Formula is:
f%28x%29=-.01%28x-40%29%5E2%2B16
+graph%28+300%2C+200%2C+0%2C+80%2C+-2%2C+18%2C+-%28.01%29%28x-40%29%5E2%2B16%29+