Final answer:
The translation (x - 2, y + 4) involves moving a point 2 units left and 4 units up. Applying this to the point (-1, 2) yields the new point (-3, 6).
Step-by-step explanation:
The question involves understanding a translation in a two-dimensional coordinate system. Under the translation (x - 2, y + 4), every point on the plane is shifted 2 units to the left along the x-axis and 4 units up along the y-axis. To apply this translation to the point (-1, 2), we subtract 2 from the x-coordinate and add 4 to the y-coordinate. Thus, the transformed point is (-1 - 2, 2 + 4) or (-3, 6), as stated in the question.