The function h(x)=−x2+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)?

Question

18

2

10

8

16

Answer 1

To find the value of h(2), plug in x=2 into the function 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.