Question

answer a translation 1 unit left a rotation 90° clockwise about the origin a rotation 90° counterclockwise about the origin a translation 1 unit right submit answer

Explanation:

Step1: Analyze translation effect

Translation moves a figure without rotation. A 1 - unit left or right translation would just shift the figure horizontally. But the orientation of Figure N and Figure M is different, so translations (1 unit left or 1 unit right) are not correct.

Step2: Analyze rotation rules

For a 90° counter - clockwise rotation about the origin, the transformation rule for a point (x,y) is (-y,x). For a 90° clockwise rotation about the origin, the transformation rule for a point (x,y) is (y, - x). By observing the orientation of Figure N and Figure M, we can see that a 90° counter - clockwise rotation about the origin can transform Figure M to Figure N.

Answer:

A rotation 90° counterclockwise about the origin