The graph shows the height in feet of an object above the ground `t`seconds after it was launched from the ground.

Which function is best represented by the graph of this situation?

h(t) =-16t^2 -64t
h(t) =-16t^2 + 128t - 256
h(t) =-16t^2 - 128t - 256
h(t) =-16t^2 + 64t

The function that is best represented by the graph of this situation is:

h(t) = -16t^2 + 64t

This function represents the height of the object above the ground `t` seconds after it was launched. The coefficient of t^2 is -16, which accounts for the downward acceleration due to gravity, and the coefficient of t is 64, representing the initial upward velocity of the object.