To identify the vertex of the parabola, we need to know the highest or lowest point of the graph (depending on whether it opens upwards or downwards).
The vertex is usually given in the format \((x, y)\) where \(x\) is the horizontal coordinate and \(y\) is the vertical coordinate.
Based on the options you've provided:
- \(x = -11\) - This is not a point and thus cannot be the vertex.
- \((-12, 0)\) - This point is valid, but we need to verify if it is the vertex.
- \((-10, 0)\) - This point is valid, but similarly needs verification.
- \((-11, -1)\) - This point is also valid and could potentially be the vertex.
To determine the vertex, it would be best to check the graphical representation for the highest or lowest point (the peak or trough of the parabola). If you see the vertex at a certain point visually or from a description, you can confirm which option is accurate.
If you do not have access to the graph at this moment, based on common characteristics of parabolas, the vertex tends to be either on the line of symmetry or the lowest/highest point based on the parabola's orientation.
If you could describe the graph further or if you have any additional details (like where the parabola opens), I can help you determine which point is the vertex you should select.