Use the image to answer the question.

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

4 meters
4 meters

2 meters
2 meters

6 meters
6 meters

0 meters
0 meters
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Answer 1

To determine the goalkeeper's distance from the goalpost at the moment the ball was kicked, we need to identify the x-coordinate where the ball was kicked, which corresponds to the point where the parabola intersects the x-axis (it's where the height of the ball is 0).

Since you indicated that the graph represents the trajectory of the soccer ball and the x-axis represents the distance from the goalpost, look for the point where the parabola crosses the x-axis.

If you could provide the specific details or value of the x-coordinate at which the parabola intersects the x-axis (the value of y at that point being 0), that would help answer the question accurately.

Based on the multiple choice options you provided (0, 2, 4, or 6 meters), if we assume the parabola intersects the x-axis at 4 meters, then that would be the goalkeeper's distance from the goalpost when the ball was kicked.

If you want to confirm or provide more details, please do! Otherwise, the answer would be:

4 meters (if that is the intersection point).