Question
Graphs of Quadratic Equations Practice
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A parabola is graphed on a coordinate plane. The x-axis ranges from negative 6 to 5 in increments of 1. They y-axis ranges from negative 2 to 16 in increments of 2.
Identify the vertex and axis of symmetry of the parabola.
(1 point)
axis of symmetry: x=
vertex: (
)
Remaining Attempts : 3
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Complete this assessment to review what you’ve learned. It will not count toward your grade.
4 of 54 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 6 to 5 in increments of 1. They y-axis ranges from negative 2 to 16 in increments of 2.
Identify the vertex and axis of symmetry of the parabola.
(1 point)
axis of symmetry: x=
vertex: (
)
Remaining Attempts : 3
Skip to navigation
Answers
GPT-4o mini
To identify the vertex and axis of symmetry of the parabola from the given description, you would typically need to see the graph itself. However, I can guide you through how to determine these characteristics based on general properties of parabolas:
1. **Vertex**: The vertex of a parabola in standard form \( y = ax^2 + bx + c \) can be found by using the formula \( x = -\frac{b}{2a} \) to find the x-coordinate, and then substituting it back into the equation to find the y-coordinate. If you've been provided with points that form the parabola, identify the highest or lowest point.
2. **Axis of Symmetry**: The axis of symmetry is the vertical line that passes through the vertex. It can be represented by the equation \( x = h \), where \( h \) is the x-coordinate of the vertex.
If you remember the vertex coordinates or the general shape of the parabola, you can plug in those values.
If you find the vertex is, for example, at point (2, 3), then:
- **axis of symmetry**: \( x = 2 \)
- **vertex**: \( (2, 3) \)
Once you can see the graph or have specific values from it, you can directly provide me with the vertex or any other numerical representation needed, and I can assist you further!
1. **Vertex**: The vertex of a parabola in standard form \( y = ax^2 + bx + c \) can be found by using the formula \( x = -\frac{b}{2a} \) to find the x-coordinate, and then substituting it back into the equation to find the y-coordinate. If you've been provided with points that form the parabola, identify the highest or lowest point.
2. **Axis of Symmetry**: The axis of symmetry is the vertical line that passes through the vertex. It can be represented by the equation \( x = h \), where \( h \) is the x-coordinate of the vertex.
If you remember the vertex coordinates or the general shape of the parabola, you can plug in those values.
If you find the vertex is, for example, at point (2, 3), then:
- **axis of symmetry**: \( x = 2 \)
- **vertex**: \( (2, 3) \)
Once you can see the graph or have specific values from it, you can directly provide me with the vertex or any other numerical representation needed, and I can assist you further!