Question

answer a reflection over the x -axis a reflection over the y -axis a rotation 90° clockwise about the origin a rotation 90° counterclockwise about the origin submit answer figure x figure y

Explanation:

Step1: Recall transformation rules

Reflection over x - axis changes (x,y) to (x, - y). Reflection over y - axis changes (x,y) to (-x,y). 90° clock - wise rotation about origin changes (x,y) to (y, - x) and 90° counter - clockwise rotation about origin changes (x,y) to (-y,x).

Step2: Identify key points of Figure X

Let's assume key points of Figure X are (-3,0), (-2,1), (-1,0).

Step3: Apply transformations and check

For reflection over y - axis: (-3,0) becomes (3,0), (-2,1) becomes (2,1), (-1,0) becomes (1,0) which matches Figure Y.

Answer:

A reflection over the y - axis