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The question asks which notation represents a translation of 5 units to the right and 2 units down.

In translation notation, \( T(x, y) \), the numbers inside the parentheses represent how much the figure moves horizontally (left or right) and vertically (up or down):
- A positive \( x \) value indicates movement to the right.
- A negative \( y \) value indicates movement downward.

For this question:
- A translation 5 units to the right corresponds to \( x = 5 \).
- A translation 2 units down corresponds to \( y = -2 \).

Thus, the correct notation for this translation is \( T_{(5, -2)} \).

Let me know if you'd like more details or have any questions!

Here are 5 related questions:
1. What does a translation \( T_{(-3, 4)} \) represent?
2. How would you translate a figure 6 units left and 7 units up?
3. What is the effect of a translation \( T_{(0, -5)} \) on a figure?
4. How can you represent a translation that does not move the figure at all?
5. How would you describe a translation represented by \( T_{(-8, -3)} \)?

**Tip:** Remember that in translations, the first number corresponds to the horizontal movement, and the second number corresponds to the vertical movement.

Which notation denotes a translation of a pre-image 5 units right and 2 units down?

Learn how to represent the translation of a figure by 5 units to the right and 2 units down using proper notation. This problem is suitable for students in Grades 6-8 and covers key concepts in coordinate geometry.

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