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A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t, 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 what does it represent?
t = 3; It takes the ball 3 seconds to reach the maximum height and 3 seconds to fall back to the ground.
t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.
t = 1.5; It takes the ball 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.
t = 1.5; It takes the ball 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.
The function is a parabola of the form . The the formula for the axis of symmetry of a parabola is. So it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.
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