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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

6 meters
6 meters

0 meters
0 meters

2 meters
2 meters

4 meters
4 meters
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Answer 1

To determine the goalkeeper's distance from the goalpost when the ball was kicked, you need to look at the x-coordinate where the curve of the parabola intersects the y-axis (where y=0). This x-coordinate represents the distance of the ball from the goalpost at the moment it was kicked.

In many parabola graphs, if the vertex or highest point is at the top, and the ball is usually kicked from the horizontal level (ground level), the ball is kicked at x=0 when y=0.

Given this information, based on standard trajectories, the commonly accepted response is likely the distance where the y-axis intersects with the parabola, in this case usually at 0 meters.

Thus, the goalkeeper's distance from the goalpost when the ball was kicked is 0 meters.