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

6 meters
6 meters

0 meters
0 meters

2 meters
2 meters

4 meters

Answer 1

To determine the goalkeeper's distance from the goalpost when the ball was kicked, we need to find the x-coordinate at which the parabola intersects the y-axis (where y = 0).

In the provided information, the x-axis represents the distance from the goalpost, with x = 0 being the goalpost itself. The intercept point (where the parabola crosses the y-axis) will give us the distance of the goalkeeper from the goalpost at the moment the ball was kicked.

From the options given:

• If the parabola intersects the y-axis at x = 0, this would indicate the goalkeeper was directly at the goalpost (0 meters).
• If the parabola intersects the y-axis at any other x-value like 2, 4, or 6, then that would represent the goalkeeper's distance from the goalpost.

Without the actual graph details, I can't provide a specific answer. However, if you observe where the parabola intersects the y-axis (x = 0) on your graph, it will indicate the goalkeeper's position. If it's at 0, then it is "0 meters."

Therefore, the most logical assumption for the situation presented is that the goalkeeper was 0 meters from the goalpost when the ball was kicked.