Question

the image (green) is the result of a transformation on the pre - image (blue). * 1 point which transformation would accomplish this? figure p figure q a reflection over the y - axis a translation 2 units right and 1 unit up a translation 2 units left and 1 unit down a reflection over the x - axis

Explanation:

Step1: Analyze reflection over y - axis

For a point $(x,y)$ reflected over the y - axis, the new point is $(-x,y)$. By observing the two figures, corresponding points of Figure P and Figure Q have the relationship where their x - coordinates are opposite and y - coordinates are the same, which is characteristic of a y - axis reflection.

Step2: Check other options

For a translation 2 units right and 1 unit up, the x - coordinate of each point in the pre - image would increase by 2 and the y - coordinate would increase by 1, which is not the case here. For a translation 2 units left and 1 unit down, the x - coordinate of each point in the pre - image would decrease by 2 and the y - coordinate would decrease by 1, not applicable. For a reflection over the x - axis, the x - coordinate remains the same and the y - coordinate changes sign, which is not what we see in the given figures.

Answer:

A. A reflection over the y - axis