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 what does it represent?

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21-04-2015
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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 what does it represent?

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assassin4234 assassin4234 · Answer 1 · 2015-04-21T18:24:58-04:00

assassin4234 assassin4234

21-04-2015

The formula for finding the axis of symmetry is -b/2a. In this case, a=-16 and b=64.
Therefore, the axis of symmetry is -64/-16, which is 4
The axis of symmetry is t=4
This represents the time at which the ball is highest from the ground because the point that intersects at t=4 is the vertex of the graph

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