To identify the vertex of the parabola, we need to know the highest or lowest point of the curve, depending on the parabola's orientation.
Based on the options provided, the possible vertices are:
- (−12, 0)
- x = −11
- (−10, 0)
- (−11, −1)
Typically, the vertex of a parabola can be determined by finding the minimum or maximum point along the curve. The x-value of the vertex is found at the axis of symmetry.
Without seeing the image, I can't directly identify the vertex from it. However, if the parabola opens upwards and has a vertex along the x-axis, you may want to look for the x-coordinate that does not exceed the given values displayed at minimum or maximum y-values.
If the parabola opens downward and has a vertex below the x-axis, the vertex would be located at a point where the y-value is a minimum.
Given the context of the question, I presume that you need to select based on typical vertex characteristics.
If you choose (−11, −1), for example, that suggests it being the lowest point of a downward-opening parabola located below the x-axis.
Consider those characteristics, and based on your observations from the image, select the best answer. However, if you note that the vertex is listed exactly on the y-axis (0), then either (−12, 0) or (−10, 0) is likely valid options, with consideration of symmetry and the form of the parabola's opening direction.
In conclusion, without visual aid, it's inferred the possibility of your choices leads back to understanding the nature of the parabola inspected. Please choose the vertex that best fits your visual interpretation of the graph!