Question

. Describe the translation in words: +7 Move 7 units to the right and 5 units down 5 dom -5 Write a rule to describe the translation 324 7 42 3 A D' 2. Write a rule to describe the translation: D C (x,y) -> (x-5, y+7) B C (x,y) -> (x-7, y+5) (x,y) -> (x+5, y-7) (x,y) -> (x+7, y-5)

Answer 1

To describe the translation in words, we'll break it down into two parts based on your prompt:

1. **Translation**: "+7 Move 7 units to the right and 5 units down"
- This means if you have a point (x, y), after this translation, the new point will be (x + 7, y - 5).
- In terms of directions, moving "7 units to the right" indicates adding 7 to the x-coordinate and "5 units down" indicates subtracting 5 from the y-coordinate.

2. **Negative Translation**: "-5 Write a rule to describe the translation"
- The implications of "-5" are unclear in your request but if it refers to a different transformation, we could interpret it as needing a translation to the left or down by 5 or 7.

Now, writing the rule to describe the translation:

### Translation Rule
1. For the translation moving +7 to the right and -5 down:
- **D C**: (x,y) → (x + 7, y - 5)

2. Possible interpretations of the negative translations (based on the other expressions you provided):
- **B C**: (x,y) → (x - 5, y + 7) for moving left by 5 and up by 7.
- Or,
- (x,y) → (x - 7, y + 5) for moving left by 7 and up by 5.
- Or,
- (x,y) → (x + 5, y - 7) for moving right by 5 and down by 7.
- Or,
- (x,y) → (x + 7, y - 5) for moving right by 7 and down by 5.

### Summary of Rules
1. D C: (x,y) → (x + 7, y - 5)
2. B C: (x,y) → (x - 5, y + 7) (or alternatives as mentioned)

Please let me know if you need any more specific rules or explanations.