The graph that represents the height of the basketball over time would reflect the bouncing behavior of the ball as it falls and rebounds. As the ball is dropped, it initially falls to the ground, showing a downward trend on the graph. Upon hitting the ground, it bounces back up to a height that is half of the previous height. This creates a series of peaks (the bounce heights) that gradually decrease over time, resembling a curve that slopes downward. The graph would depict a series of alternating up and down movements, forming a pattern that approaches the horizontal axis as the height diminishes with each subsequent bounce. Eventually, the ball settles on the ground, where the height reaches zero, and the graph would stop at that point. Therefore, a precise description of the graph would be that it goes up and down, creating a curve that decreases over time, ultimately leveling off when the ball stops bouncing.
A basketball was dropped out of a window on the second floor of a school onto the concrete below. Each time the ball hit the ground, it bounced ad reached a height that was half of the previous bounce. It continued until it settled on the ground. Describe the shape of the graph in words, if time is on the x-axis and height of the ball is on the y-axis.(1 point) Responses The graph would go up and down and then stop once the ball stopped bouncing. The graph would go up and down and then stop once the ball stopped bouncing. The graph would be a straight line with a negative slope. The graph would be a straight line with a negative slope. The graph would be a group of points at each height the basketball reaches. The graph would be a group of points at each height the basketball reaches. The graph would be a straight line with a negative slope.
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