To determine the goalkeeper's distance from the goalpost when the ball was kicked, we need to find the x-coordinate where the height of the ball (y-coordinate) is zero, since this point represents the moment the ball is at the same height as the goalpost.
In the given scenario, we need to analyze the graph of the parabola. The x-axis represents the distance from the goalpost (x), while the y-axis represents the height of the ball (y).
If we look for the point where the parabola intersects the x-axis (where y = 0), we can find the corresponding x-coordinate.
Based on the typical structure of such problems, if the intersection point of the parabola with the x-axis (the height is zero) is at:
- x = 4, then the goalkeeper kicked the ball from 4 meters,
- x = 0, then the goalkeeper kicked the ball from the goalpost,
- x = 6, then the distance is 6 meters,
- x = 2, then the distance is 2 meters.
Since the exact image of the graph is not available, you would need to refer to the graph or the options based on where the parabola intersects the x-axis.
If you see the intersection at 4 on x-axis, then it means:
The goalkeeper's distance from the goalpost when the ball was kicked is 4 meters.