To identify the vertex on the graph, we typically look for a point that represents the maximum or minimum value of a parabola, depending on its direction (opening upwards or downwards).
From the provided options, we have potential vertices:
- (-11, -1)
- x = -11 (this is not a point)
- (-10, 0)
- (-12, 0)
Among these options, the points (-11, -1), (-10, 0), and (-12, 0) are valid points.
Without additional context about the graph or the function it represents, we can't definitively say which is the vertex. However, if we are looking for the coordinate pair that represents the vertex based on maximizing or minimizing behavior, (-11, -1) would likely represent a valid vertex if the graph represents a downward-opening parabola, while (-10, 0) could represent a vertex for a parabola opening upward.
If you have a specific function or the shape of the parabola in mind, that would help narrow down the correct vertex. Otherwise, based on the options given, we should look for the option that gives a maximum or minimum point. If you can clarify the nature of the graph, I can provide a more accurate answer. However, if you're simply asking for a vertex from the list, (-11, -1) seems like a strong candidate.