Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 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 a negative number, the parabola opens downward, so its vertex gives the maximum height. The vertex’s height is 64, so the ball reaches a maximum height of 64 feet.

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