Use the image to answer the question.

A parabola is graphed on a coordinate plane. The x-axis ranges from negative 25 to 10 in increments of 5. The y-axis ranges from negative 10 to 60 in increments of 10.

Identify the vertex and axis of symmetry of the parabola.

(1 point)
axis of symmetry: x=

vertex: (
)

Remaining Attempts : 3

1 answer

To identify the vertex and axis of symmetry of a parabola, we typically look at the graph where the parabola opens. The vertex is the highest or lowest point on the curve, depending on whether the parabola opens upwards or downwards. The axis of symmetry is a vertical line that passes through the vertex and divides the parabola into two mirror-image halves.

Since I don't have access to the image you mentioned, I can't provide specific values for the vertex and axis of symmetry. However, here’s how you can find these values:

  1. Vertex: Locate the highest or lowest point on the parabola. This point is represented as \( (h, k) \), where \( h \) is the x-coordinate and \( k \) is the y-coordinate.

  2. Axis of Symmetry: This is a vertical line described by the equation \( x = h \), where \( h \) is the x-coordinate of the vertex.

If you can describe the graph or provide specific coordinates, I can help you determine the vertex and the axis of symmetry.

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