To identify the vertex and axis of symmetry of a parabola from the given information, we typically look for specific features on its graph. However, since I can't see the image you're referencing, I can guide you on how to determine these values.
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Vertex: The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards. It can be identified as the point (h, k) where the parabola changes direction.
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Axis of Symmetry: The axis of symmetry is a vertical line that passes through the vertex of the parabola and divides it into two mirror-image halves. The equation for the axis of symmetry can be expressed as \( x = h \), where \( (h, k) \) is the vertex.
To fill in the answer based on the information from the graph:
- Look for the coordinates of the vertex on the graph, which will be noted as (h, k).
- The x-coordinate of the vertex will provide you with the value for the axis of symmetry.
Assuming you can visually identify the vertex from the graph, simply replace "h" and "k" with the respective coordinates you find. For example, if the vertex is at (2, 3), your answers would be:
- axis of symmetry: \( x = 2 \)
- vertex: \( (2, 3) \)
If you provide more specific details about the vertex's location from the graph, I can help you format your answer accordingly!
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