Question
page 17 Quadratic Functions in Context Quick Check
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Question
Use the image to answer the 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
0 meters
0 meters
4 meters
4 meters
6 meters
6 meters
2 meters
5 of 55 of 5 Items
Question
Use the image to answer the 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
0 meters
0 meters
4 meters
4 meters
6 meters
6 meters
2 meters
Answers
GPT-4o mini
To determine the goalkeeper's distance from the goalpost when the ball was kicked, we can look for the x-coordinate where the parabola intersects the x-axis. This point typically indicates the initial position of the ball when it was kicked.
Since you mentioned that the x-axis ranges from -2 to 10, you should identify where the parabola crosses the x-axis. The point where it touches the x-axis will correspond to the distance of the goalkeeper from the goalpost.
Without the visual of the graph, I can't provide an exact answer, but you should check for the x-coordinate where the parabola intersects the x-axis. If the graph shows that the ball was kicked from 0 meters (the goalpost), then the answer would be:
**0 meters**.
If the parabola intersects the x-axis at another value, such as 2, 4, or 6 meters, then you would select that corresponding option. Based on the context of the question, 0 meters is often likely to be the value you are looking for, signifying that the ball was kicked from the goalpost itself.
Since you mentioned that the x-axis ranges from -2 to 10, you should identify where the parabola crosses the x-axis. The point where it touches the x-axis will correspond to the distance of the goalkeeper from the goalpost.
Without the visual of the graph, I can't provide an exact answer, but you should check for the x-coordinate where the parabola intersects the x-axis. If the graph shows that the ball was kicked from 0 meters (the goalpost), then the answer would be:
**0 meters**.
If the parabola intersects the x-axis at another value, such as 2, 4, or 6 meters, then you would select that corresponding option. Based on the context of the question, 0 meters is often likely to be the value you are looking for, signifying that the ball was kicked from the goalpost itself.