A football is kicked toward the goal. The height of the ball is modeled by the function h (x) = - 16t^2 + 64t where t equals the time in seconds and h (x) represents the height of the ball at time t seconds. What is the axis of symmetry and what does it represent?

We are given with the function that expresses the height of the football over time in the equation h (x) = - 16t^2 + 64t. To determine the axis of symmetry, we determine the time when it reaches the maximum height. we derive the equation and equate to zero to get t. - 32t + 64 = 0. t is equal to 2 seconds. Substituting, to the original equation, h (x) is 64. Hence the axis of symmetry is y = 32.