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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 answer

To identify the y-intercept and vertex of a parabola from a given graph, you'll generally 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.

  1. Y-Intercept: This occurs where the parabola crosses the y-axis (where \(x = 0\)). On the graph, locate the point on the y-axis corresponding to the parabola.

  2. Vertex: The vertex of a parabola can be found at either the maximum or minimum point of the curve, depending on whether the parabola opens upwards or downwards. Find the point that represents either the highest or lowest point on the graph.

Since I cannot see the image, I suggest locating these points accordingly on the graph. If you provide specific coordinates or any details from the graph, I could help elaborate further!