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

0 meters
0 meters

6 meters
6 meters

2 meters
2 meters

Answer 1

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.