He water from a sprinkler follows the path of the equation h (x) = - 0.28 (x-3.09) ^2 + 3.27 What is the maximum height the water will reach in feet?

We have

y=a (x-h) ²+k

(h, k) is the vertex

if a<0, then the parabola opens down and the vertex is the maximum

so

h (x) = - 0.28 (x-3.09) ²+3.27

-0.28<0 so the parabola opens down and the vertex is a maximum

the vertex is (3.09,3.27)

in (h, k), h is the independent vairable, like time, and k would be the height

so the maximum height is 3.27ft