Ja'Von kicks a soccer ball into the air. The function f of x is equal to negative 16 times open paren x minus 2 close paren squared plus 64 represents the height of the ball, in feet, as a function of time, x , in seconds. What is the maximum height the ball reaches?

The function is in vertex form: f(x) = -16(x - 2)² + 64. Since the squared term is multiplied by -16, the parabola opens downward, so its vertex gives the maximum height. The vertex’s height is 64 feet, so the ball reaches a maximum height of 64 feet.

AI-written and checked against the verified answer.