Function h(x)=-x^2+6x models the path of water in a fountain in meters. The function represents the VERTICAL distance, h, as a function of the HORIZONTAL distance, x. What is the value of h(2)? Choose the correct answer from the following. Show your work.
a) 10
b) 2
c) 18
d) 18
e) 8
To find the value of h(2), we substitute x = 2 into the equation h(x) = -x^2 + 6x.
h(2) = -(2)^2 + 6(2)
h(2) = -4 + 12
h(2) = 8
Therefore, the value of h(2) is 8.
The correct answer is e) 8.