SOLUTION: The height h (in feet) of a punted football can be modeled by the quadratic function h(x)=-0.01x^2+1.18x+1.19 where x (in feet) is the horizontal distance from the point of impact

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Question 969572: The height h (in feet) of a punted football can be modeled by the quadratic function h(x)=-0.01x^2+1.18x+1.19 where x (in feet) is the horizontal distance from the point of impact of the punters foot. Determine the maximum height of the football (to the nearest foot)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+h%28x%29+=+-.01x%5E2+%2B+1.18x+%2B+1.19+
The formula for +x+ value where
+h%28x%29+ is a maximum is:
+x%5Bmax%5D+=+-b%2F%282a%29+
+a+=+-.01+
+b+=+1.18+
--------------
+x%5Bmax%5D+=+-1.18+%2F+%28-.02%29+
+x%5Bmax%5D+=+59+
Plug this into equation to find +h%28+59+%29+
+h%2859%29+=+-.01%2A59%5E2+%2B+1.18%2A59+%2B+1.19+
+h%2859%29+=+-34.81+%2B+69.62+%2B+1.19+
+h%2859%29+=+36+
The maximum height is 36 ft
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check:
Here's the plot:
+graph%28+400%2C+400%2C+-10%2C+150%2C+-5%2C+45%2C+-.01x%5E2+%2B+1.18x+%2B+1.19+%29+
Looks about right