SOLUTION: Duncan hits a volleyball out of bonds on a path given by the equation h=-0.1d^2+d+1. The height of the volleyball is h metres. What is the maximum height reached by the ball?

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Question 176710: Duncan hits a volleyball out of bonds on a path given by the equation h=-0.1d^2+d+1. The height of the volleyball is h metres. What is the maximum height reached by the ball?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The general equation for a parabola is
ax%5E2%2Bbx%2Bc
The axis of symmetry and extreme value (min or max) occur at
x=-b%2F2a
In this cose
b=1
a=-0.1
x=-1%2F%282%280.1%29%29
x=5
Plugging into the formula,
h%285%29=-0.1%285%29%5E2%2B5%2B1
h%285%29=-2.5%2B5%2B1
h%285%29=3.5