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A track-and-field athlete releases a javelin. The height of the javelin as a function of time is shown on the graph below.

A track-and-field athlete releases a javelin. The height of the javelin as a function-example-1
A track-and-field athlete releases a javelin. The height of the javelin as a function-example-1
A track-and-field athlete releases a javelin. The height of the javelin as a function-example-2
User Salketer
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1 Answer

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The given graph is parabola graph with vertex at the point (2.0,24) and branches of the parabola go in a negative direction of y-axis.
As known parabola is symmetric about her axis of symmetry and in this case the symmetry axis has equation t=2.0 (vertical line). Thus, the height of the javelin above the ground is symmetric about the line t=2.0.

From the graph you can see that the first time when javelin is 20 feet above the ground is when t=1.0 and the second time is t=3.0 (to determine this you should draw horizontal line through point (0,20) and consider two points of intersection (1.0,20), (3.0,20) between parabola and horizontal line).


User Louis Kurniawan
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