SOLUTION: Find the average height of a castle door bounded by the parabola y = 4 -x^2 and the x-axis. Please explain Thank you!

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Question 1003299: Find the average height of a castle door bounded by the parabola y = 4 -x^2 and the x-axis.

Please explain
Thank you!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
the average height of a castle door bounded by the parabola y+=+4+-x%5E2 and the x-axis
parabola y+=+4+-x%5E2 or y+=+-x%5E2%2B4 has negative sign in front of x%5E2, so a%3C0 and parabola opens downwards
then the vertex is its maximum which is at 4-0%5E2+=+4 or at point (+0,4)
the average height of a castle door bounded by the parabola will be equal to y coordinate of the vertex which is 4 units above x axis