Question

graph each transformation, and rewrite the algebraic rule in words. 3. rule: (x,y)→(x,y - 5) describe the transformation in words: 4. rule: (x,y)→(x + 1,y + 4) describe the transformation in words: write a description and a rule for each of the translations shown. the original pre - image is shown in gray, and the new image is shown in white. 5. description: rule: 6. description: rule:

Explanation:

Step1: Analyze rule (x,y)→(x,y - 5)

The x - coordinate remains the same and the y - coordinate is decreased by 5. So the transformation is a vertical translation 5 units down.

Step2: Analyze rule (x,y)→(x + 1,y + 4)

The x - coordinate is increased by 1 and the y - coordinate is increased by 4. So the transformation is a translation 1 unit to the right and 4 units up.

Step3: Analyze problem 5

By observing the graph, the pre - image (gray triangle) is translated 4 units to the right. The rule is (x,y)→(x + 4,y).

Step4: Analyze problem 6

By observing the graph, the pre - image (gray parallelogram) is translated 4 units to the right and 3 units down. The rule is (x,y)→(x + 4,y-3).

Answer:

1. Description: A vertical translation 5 units down.
2. Description: A translation 1 unit to the right and 4 units up.
3. Description: A translation 4 units to the right. Rule: (x,y)→(x + 4,y)
4. Description: A translation 4 units to the right and 3 units down. Rule: (x,y)→(x + 4,y - 3)