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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 2 to 4 in increments of 1. The y-axis ranges from negative 8 to 2 in increments of 1.

Identify the y-intercept and vertex of the parabola.

(1 point)
vertex: ()

y-intercept: ()

1 answer

To identify the vertex and y-intercept of a parabola from a graph, you'd typically look for the point where the parabola crosses the y-axis for the y-intercept, and the highest or lowest point of the parabola for the vertex.

Since I cannot view images, you would look for the coordinates based on the following:

  1. Y-intercept: Look for the point where the parabola intersects the y-axis. This will be in the form (0, y) where y is the value at that point.

  2. Vertex: Identify the highest or lowest point of the parabola, which will be in the form (x, y) where x is the x-coordinate of the vertex, and y is the value at that point.

In summary:

  • Vertex: (x, y) coordinates of the peak or trough of the parabola.
  • Y-intercept: (0, y) coordinates where it intersects the y-axis.

Please refer to the graph to find these points and fill in the parentheses accordingly.