To translate the figure HIJKL 3 units to the left, you need to subtract 3 from the x-coordinate of each vertex.
The original vertex H has coordinates (-3, 6).
Subtracting 3 from the x-coordinate, we get (-3 - 3, 6), which simplifies to (-6, 6).
Therefore, the vertex in the translated figure is (-6, 6).
So the correct answer is (−6, 6), or left parenthesis negative 6 comma 6 right parenthesis.