To translate the figure HIJKL 3 units to the left, you need to subtract 3 from the x-coordinate of each vertex of the figure.
We need to check if any of the provided points result from subtracting 3 from the x-coordinates of any original vertices.
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For the point \((-6, 6)\):
- Original x-coordinate = \(-6 + 3 = -3\)
- Translated point is \((-6, 6)\)
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For the point \((2, 4)\):
- Original x-coordinate = \(2 + 3 = 5\)
- Translated point is \((2, 4)\)
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For the point \((-1, -2)\):
- Original x-coordinate = \(-1 + 3 = 2\)
- Translated point is \((-1, -2)\)
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For the point \((-7, 4)\):
- Original x-coordinate = \(-7 + 3 = -4\)
- Translated point is \((-7, 4)\)
If you have original vertices, you can translate them using the same method. However, based on the points provided, we need to determine if any of these points can be one of the translated vertices.
None of the points directly result from subtracting 3 from a clear original x-coordinate of vertices provided in the context you gave. Assuming one of those points is indeed the correct answer:
Option:
- (−6, 6) is a candidate we can consider based on some vertex (e.g. if it was originally \((-3, 6)\)).
Therefore:
The correct response indicating a vertex in the translated figure would be (−6, 6); it is possible that one of the original vertices \( (−3, 6) \) maps to this after translation.