Question

A football is kicked toward the goal. the height of the ball is modeled by the function h(t) = −16t2 64t, where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. what is the axis of symmetry, and how does it relate to the time the ball is in the air?

Answer 1

axis of symmetry : x = 4

Explanation:

The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

The vertex of h(t) = -16t^2 + 64x is ( 4 , 0 )

The vertex is the highest point of the graph so it represents that after four seconds the ball is at its highest height when the football is being kicked towards the goal.