Use the image to answer the question.

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

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

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

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

To identify the vertex of the parabola from the graph described, you should look for the highest or lowest point on the curve, depending on whether the parabola opens upwards or downwards.

Given the responses you provided, the possible coordinates for the vertex are:

• x = −11
• (−12, 0)
• (−10, 0)
• (−11, −1)

Based on the typical presentations of vertices in parabolic equations, the vertex is commonly denoted as an (x, y) coordinate. Therefore, the possible coordinates (−12, 0), (−10, 0), and (−11, −1) are the most relevant.

To provide a definitive answer, I would need to visually assess the graph. However, if you are looking for the vertex among the provided options, please choose the one that corresponds to the highest or lowest point along the parabola. If the vertex is about x = -11 and resembles the typical forms of vertex coordinates, then:

(−11, −1) could be the correct vertex, especially if the parabola opens downwards.

Make sure to review the graph and confirm the location of the vertex based on these points!