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?

To determine the goalkeeper's distance from the goalpost when the ball was kicked, we would usually analyze the graph where the x-axis represents the distance from the goalpost (x) to find the point where the height (y) of the ball is zero (i.e., when it is at the level of the goalpost). However, as I don't have access to the actual graph, I can guide you based on typical scenarios and assumptions.

If the graph indicates that the ball is at a height of zero when \( x = 0 \) meters, then the goalkeeper was at the goalpost. If the height is zero at another distance (e.g., 2 meters, 4 meters, or 6 meters), that would indicate the distance at which the ball was kicked in relation to the goalpost.

You can look for the x-coordinate on the graph where the ball's height (y) is zero to answer the question accurately. If, for example, the zero height occurs at \( x = 2 \), then the goalkeeper was 2 meters from the goalpost when the ball was kicked.

Please check the graph for the specific point where the height of the ball is zero to determine the correct distance.