To identify the vertex of a soft "U" shaped graph (which typically represents a parabola) that goes through the coordinates -12 and -10, with -11 in the middle, we can deduce a few key points about the vertex:
- The vertex of a parabolic graph (U-shape) is located at the minimum point when the graph opens upwards.
- Since the points -12 and -10 are on the graph and -11 is in the middle, -11 will be the x-coordinate of the vertex, as it is the average of -12 and -10.
Given these considerations, the correct choice that identifies the vertex is:
D: x = -11
This indicates that the vertex lies at x = -11. If we were to also find the y-coordinate of the vertex, we'd need more information about the specific function or points, but for identifying the vertex's location along the x-axis, option D is the best choice.
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