Asked by Hana blanie
Use the image to answer the question.
A parabola is graphed on a coordinate plane. The x-axis ranges from negative 5 to 5 in increments of 1. The y-axis ranges from negative 1 to 16 in increments of 1.
Determine which of the following statements is true about the parabola.
(1 point)
Responses
There is only one x-intercept.
There is only one x -intercept.
The y-intercept and the vertex share the same point.
The y -intercept and the vertex share the same point.
The vertex and the x-intercepts share the same point.
The vertex and the x -intercepts share the same point.
The y-intercept and the x-intercepts share the same point.
The y -intercept and the x -intercepts share the same point.
A parabola is graphed on a coordinate plane. The x-axis ranges from negative 5 to 5 in increments of 1. The y-axis ranges from negative 1 to 16 in increments of 1.
Determine which of the following statements is true about the parabola.
(1 point)
Responses
There is only one x-intercept.
There is only one x -intercept.
The y-intercept and the vertex share the same point.
The y -intercept and the vertex share the same point.
The vertex and the x-intercepts share the same point.
The vertex and the x -intercepts share the same point.
The y-intercept and the x-intercepts share the same point.
The y -intercept and the x -intercepts share the same point.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
Without being able to see the image of the parabola, we can still analyze the statements based on general properties of parabolas:
1. **There is only one x-intercept.**
This statement would only be true if the parabola touches the x-axis at exactly one point (a double root), which occurs at the vertex.
2. **The y-intercept and the vertex share the same point.**
This can only be true if the vertex of the parabola is located on the y-axis.
3. **The vertex and the x-intercepts share the same point.**
This statement would imply that the vertex of the parabola is also one of the x-intercepts, which can occur if the vertex is on the x-axis (again, at the point of a double root).
4. **The y-intercept and the x-intercepts share the same point.**
This is generally not true for standard parabolas, as the y-intercept is when x=0, while x-intercepts depend on the roots of the equation.
Given the nature of parabolas, if the vertex is the only point on the x-axis (the parabola touches the x-axis at its vertex), the correct option would be likely the first statement: **"There is only one x-intercept."**
However, without the actual image, this is only a reasoned assumption. You should refer back to the graph to identify the correctness of these properties directly; the image will be crucial in determining which statement is true.
1. **There is only one x-intercept.**
This statement would only be true if the parabola touches the x-axis at exactly one point (a double root), which occurs at the vertex.
2. **The y-intercept and the vertex share the same point.**
This can only be true if the vertex of the parabola is located on the y-axis.
3. **The vertex and the x-intercepts share the same point.**
This statement would imply that the vertex of the parabola is also one of the x-intercepts, which can occur if the vertex is on the x-axis (again, at the point of a double root).
4. **The y-intercept and the x-intercepts share the same point.**
This is generally not true for standard parabolas, as the y-intercept is when x=0, while x-intercepts depend on the roots of the equation.
Given the nature of parabolas, if the vertex is the only point on the x-axis (the parabola touches the x-axis at its vertex), the correct option would be likely the first statement: **"There is only one x-intercept."**
However, without the actual image, this is only a reasoned assumption. You should refer back to the graph to identify the correctness of these properties directly; the image will be crucial in determining which statement is true.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.