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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

2 meters
2 meters

0 meters
0 meters

4 meters
4 meters

6 meters

Answer 1

To determine the goalkeeper's distance from the goalpost when the ball was kicked, you need to find the x-coordinate where the parabola crosses the y-axis (where y = 0). This point represents the initial position of the ball (the point at which it is kicked).

From your description, the x-axis ranges from negative 2 to 10. If the parabola is symmetric and you can see from the graph that the point where it crosses the y-axis is at x = 2, then the goalkeeper kicked the ball from a distance of:

2 meters.

Therefore, the correct response is:

2 meters.