9514 1404 393
Answer:
3 feet
Step-by-step explanation:
The equation with all the parameters filled in is ...
f(t) = -16t² +8t +2
The maximum height occurs at the vertex of the function, which can be written in vertex form as ...
f(t) = -16(t² -1/2t) +2
f(t) = -16(t² -1/2t +1/16) +2 +16(1/16)
f(t) = -16(x -1/4)² +3
The vertex of the graph is (1/4, 3), so the maximum height is 3 feet.
