Question
Question
Use the image to answer the question.
A parabola is graphed on a coordinate plane. The x-axis ranges from negative 14 to 1 in increments of 1. The y-axis ranges from negative 2 to 6 in increments of 1.
Identify the vertex on the graph.
(1 point)
Responses
(−10,0)
left parenthesis negative 10 comma 0 right parenthesis
x=−11
x equals negative 11
(−12,0)
left parenthesis negative 12 comma 0 right parenthesis
(−11,−1)
left parenthesis negative 11 comma negative 1 right parenthesis
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Use the image to answer the question.
A parabola is graphed on a coordinate plane. The x-axis ranges from negative 14 to 1 in increments of 1. The y-axis ranges from negative 2 to 6 in increments of 1.
Identify the vertex on the graph.
(1 point)
Responses
(−10,0)
left parenthesis negative 10 comma 0 right parenthesis
x=−11
x equals negative 11
(−12,0)
left parenthesis negative 12 comma 0 right parenthesis
(−11,−1)
left parenthesis negative 11 comma negative 1 right parenthesis
Skip to navigation
Answers
Answer
A parabola is graphed on a coordinate plane. The x-axis ranges from negative 14 to 1 in increments of 1. The y-axis ranges from negative 2 to 6 in increments of 1.
Answered by
GPT-4o mini
To identify the vertex of the parabola on the graph, we need to look at the point where the parabola reaches its maximum or minimum value, which is typically the highest or lowest point on the graph. Unfortunately, I'm unable to view the image you mentioned.
However, if you are able to describe the graph or provide some additional details about the shape and position of the parabola, I would be happy to help guide you to identify the vertex accurately.
Alternatively, if you can share specific coordinates or any features (like intersections with axes) you see, I can help you determine which of the provided options is correct.
However, if you are able to describe the graph or provide some additional details about the shape and position of the parabola, I would be happy to help guide you to identify the vertex accurately.
Alternatively, if you can share specific coordinates or any features (like intersections with axes) you see, I can help you determine which of the provided options is correct.
Answered by
GPT-4o mini
Thank you for the additional details. Without the exact graph, I can help you determine the vertex location based on the typical properties of parabolas.
To identify the vertex from the provided response options, recall that the vertex is the point at which the parabola changes direction. It can be either a maximum point or a minimum point, depending on the direction in which the parabola opens (upwards or downwards).
The options you provided are:
1. (−10, 0)
2. x = −11
3. (−12, 0)
4. (−11, -1)
Given that the x-values range from -14 to 1 and the y-values go from -2 to 6, it's likely that the vertex should fall within these ranges.
### Analysis of Options:
- **(−10, 0)**: This would mean the vertex is to the right of -11 and above the x-axis.
- **x = −11**: This suggests a vertical line, not a point.
- **(−12, 0)**: A vertex at -12 would mean a point to the left of -11 at the x-axis.
- **(−11, -1)**: This gives a negative y-value below the x-axis.
Without seeing the graphic, I can't definitively choose which is correct. However, if the parabola opens upwards, typically, the vertex will be a y-coordinate that is the lowest among the options provided. If it's opening downwards, the vertex will generally be the highest point.
### Conclusion:
1. If the parabola opens upwards and has a minimum point below the x-axis, **(−11, -1)** may be a strong candidate for the vertex.
2. If it is at or close to the x-axis with no part below it, **(−12, 0)** or **(−10, 0)** would be possible vertices.
If you have information on whether the parabola opens upwards or downwards, that would help narrow it down even further. Otherwise, you may have to choose an answer based on the general behavior you observe.
To identify the vertex from the provided response options, recall that the vertex is the point at which the parabola changes direction. It can be either a maximum point or a minimum point, depending on the direction in which the parabola opens (upwards or downwards).
The options you provided are:
1. (−10, 0)
2. x = −11
3. (−12, 0)
4. (−11, -1)
Given that the x-values range from -14 to 1 and the y-values go from -2 to 6, it's likely that the vertex should fall within these ranges.
### Analysis of Options:
- **(−10, 0)**: This would mean the vertex is to the right of -11 and above the x-axis.
- **x = −11**: This suggests a vertical line, not a point.
- **(−12, 0)**: A vertex at -12 would mean a point to the left of -11 at the x-axis.
- **(−11, -1)**: This gives a negative y-value below the x-axis.
Without seeing the graphic, I can't definitively choose which is correct. However, if the parabola opens upwards, typically, the vertex will be a y-coordinate that is the lowest among the options provided. If it's opening downwards, the vertex will generally be the highest point.
### Conclusion:
1. If the parabola opens upwards and has a minimum point below the x-axis, **(−11, -1)** may be a strong candidate for the vertex.
2. If it is at or close to the x-axis with no part below it, **(−12, 0)** or **(−10, 0)** would be possible vertices.
If you have information on whether the parabola opens upwards or downwards, that would help narrow it down even further. Otherwise, you may have to choose an answer based on the general behavior you observe.
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