Question

choose the correct combination of transformations to go from the pre - image (fig. 1) to the final image (fig. 3)

reflect over the x - axis and then translate down 4 units
reflect over the y - axis and then translate down 8 units
rotate 90 degrees ccw and then translate down 4 units
translate 6 units left and then translate down 4 units

Explanation:

Step1: Analyze reflection

Comparing the orientation of pre - image (fig. 1) and final image (fig. 3), we see that a reflection over the y - axis is needed as the left - right orientation changes.

Step2: Analyze translation

Count the vertical distance between corresponding points of the reflected shape (after y - axis reflection) and the final image. The distance is 8 units down.

Answer:

Reflect over the y - axis and then Translate down 8 units