Use the image to answer the question.Identify the vertex on the graph.(1 point)Responses(−12,0)left parenthesis negative 12 comma 0 right parenthesisx=−11x equals negative 11(−11,−1)left parenthesis negative 11 comma negative 1 right parenthesis(−10,0)

1 answer

To identify the vertex of the graph, we typically look for the point where the graph changes direction if it is a parabola. However, since I cannot view images directly, I can guide you on how to figure it out:

  1. If the graph is a parabola opening upwards or downwards, the vertex can usually be found at the minimum or maximum point of the curve.
  2. In standard form, the vertex of a parabola given by \(y = ax^2 + bx + c\) can be calculated with the formula \(x = -\frac{b}{2a}\).
  3. If you have the coordinates of specific points marked on the graph, check which one is the lowest or highest point compared to others if the shape is a parabola.

From your options:

  • \((-12,0)\)
  • \(x = -11\)
  • \((-11,-1)\)
  • \((-10,0)\)

Without visual context, I suggest you look for the point that represents the minimum or maximum point on the graph. If you can find the point that is either highest or lowest (the "peak" or "valley"), that will be the vertex.

For a downward-opening parabola, the vertex will be the highest point, and for an upward-opening parabola, it will be the lowest point. If you share more details about the graph, such as its shape or the nature of the equation, I could help further!