Question

write the rules of each transformation. label the pre - image and image.

Explanation:

Step1: Identify pre - image and image for left hexagon

Pre - image is dashed, image is solid.

Step2: Find vertical change for left hexagon

Each point of pre - image moves 5 units down. So (x,y)→(x,y - 5).

Step3: Identify pre - image and image for right triangle

Pre - image is dashed, image is solid.

Step4: Find horizontal and vertical change for right triangle

Each x - coordinate increases by 1 and each y - coordinate decreases by 1. So (x,y)→(x + 1,y - 1).

Answer:

For the left - hand side transformation (hexagon):
Pre - image: Dashed hexagon. Image: Solid hexagon. Rule: (x,y)→(x,y - 5)
For the right - hand side transformation (triangle):
Pre - image: Dashed triangle. Image: Solid triangle. Rule: (x,y)→(x + 1,y - 1)