Question

Use the image to answer the question.

A parabola is graphed on a coordinate plane. The x-axis ranges from negative 12 to 5 in increments of 1. The y-axis ranges from negative 15 to 5 in increments of 1.

Identify the vertex on the graph.

(1 point)
Responses

(5,0)
left parenthesis 5 comma 0 right parenthesis

x=−5
x equals negative 5

(−5,0)
left parenthesis negative 5 comma 0 right parenthesis

(0,−5)

1 answer

To identify the vertex of the parabola based on the description provided, you would normally locate the highest or lowest point of the curve on the graph.

Since I can't see the image, I can help you understand how to find the vertex. The vertex is usually the point where the parabola turns, either at its peak (for a downward-opening parabola) or its lowest point (for an upward-opening parabola).

Given the options you provided:

  1. (5,0)
  2. x = -5
  3. (-5,0)
  4. (0,-5)

If the parabola opens upwards or downwards, then the vertex will typically indicate the maximum or minimum point on it. For the points given, the most probable candidates for a vertex in standard parabola form are (-5, 0) or (5, 0), depending on the orientation of the parabola.

If the vertex is at the point where the x-coordinate of the vertex is -5 and y-coordinate is 0, then the correct response would be (-5, 0). If the parabola opens upwards and -5 is indeed the minimum vertex point, that should be the answer.

If you can visually confirm which of those points represents the vertex of the parabola on your graph, choose that option. Based on standard characteristics of parabolas, I would lean towards (-5, 0) being a likely vertex if it's positioned at the bottom of a U-shaped curve.

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