Question

Use the image to answer the question.

A parabola is graphed on a coordinate plane. The x-axis ranges from negative 14 to 1 in increments of 1. The y-axis ranges from negative 2 to 6 in increments of 1.

Identify the vertex on the graph.

(1 point)
Responses

x=−11
x equals negative 11

(−11,−1)
left parenthesis negative 11 comma negative 1 right parenthesis

(−10,0)
left parenthesis negative 10 comma 0 right parenthesis

(−12,0)
left parenthesis negative 12 comma 0 right parenthesis

1 answer

To identify the vertex of the parabola from the given responses, we need to find the point where the parabola reaches its minimum or maximum value.

Given the options:

  1. x = −11 (incorrect, as it does not provide a point)
  2. (−11,−1)
  3. (−10, 0)
  4. (−12, 0)

Without seeing the image, we can't definitively say which one is correct. However, typically, for a parabola, the vertex lies at the point where the graph changes direction (either at its highest or lowest point).

If you can visually assess these points on the graph:

  • If the vertex appears to be at the coordinate (−11,−1), that is the correct answer.
  • If it's at (−10, 0), that would be the vertex.
  • If it is at (−12, 0), then that is the vertex.

In summary, select the point that visually represents the vertex of the parabola on the graph you have. If you can confirm which of these points is indeed the vertex, you'll be able to select the correct response.