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.
If we represent the original vertices of the figure as (x, y), the new vertices after the translation will be (x - 3, y).
Now, let's analyze the given response options to determine which one could be a vertex of the translated figure:
- (−7, 4): If the original vertex was (−4, 4), after translation, it becomes (−7, 4).
- (−6, 6): This could correspond to an original vertex (−3, 6).
- (2, 4): This could correspond to an original vertex (5, 4).
- (−1, −2): This means the original vertex was (2, −2).
Since we don't have the original vertices, we can't definitively point to one option, but we can recognize that each option suggests a potential original vertex:
- (−7, 4) can be a valid translation.
Thus, the answer is that (−7, 4) could be a vertex in the translated figure.