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Question

A parabola is graphed on a coordinate plane. The x-axis ranges from negative 2 to 10 in increments of 1. The y-axis ranges from negative 8 to 3 in increments of 1.

A sports analyst graphed the trajectory of a soccer ball that was kicked by a goalkeeper. In the graph, x is the ball’s distance from the goalpost, and y is the height of the ball in meters. What was the goalkeeper’s distance from the goalpost when the ball was kicked?

(1 point)
Responses

0 meters
0 meters

2 meters
2 meters

4 meters
4 meters

6 meters
6 meters
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Answer 1

To find the distance from the goalpost when the soccer ball was kicked, we need to look for the x-coordinate where the parabola intersects the axis at its starting point.

Typically, in these types of graphs, the point where the parabola begins indicates the initial position of the soccer ball, which would correspond to the goalkeeper's distance from the goalpost.

Since the x-axis ranges from negative 2 to 10, and considering the options provided (0, 2, 4, 6 meters), the most likely scenario for the kickoff point would be where x = 0 meters if that is the vertex starting point of the kick.

Therefore, the goalkeeper's distance from the goalpost when the ball was kicked is:

0 meters.