Lori tosses a ball into the air. The equation y is equal to negative 16 times open paren x minus 1 close paren squared plus 25 models the height, y , in feet, of the ball after x seconds. What is the maximum height the ball reaches?

The equation is in vertex form: y = −16(x − 1)² + 25. Since the squared term has a negative coefficient, the parabola opens downward, so its vertex gives the maximum height. The vertex’s y-coordinate is 25, so the ball reaches a maximum height of 25 ft.

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