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The transformation given is \( (x, y) \rightarrow (x-2, y+7) \).

- The \( x-2 \) indicates a shift of 2 units to the left along the x-axis.
- The \( y+7 \) indicates a shift of 7 units up along the y-axis.

Therefore, the correct description is **"Translation 2 units to the left & 7 units up."**

Would you like more details or have any questions?

Here are some related questions:
1. What is the difference between translation and other transformations like rotation or reflection?
2. How do you determine the direction of translation from a given transformation equation?
3. How would the transformation change if it was \( (x, y) \rightarrow (x+2, y-7) \)?
4. Can a translation be represented as a matrix transformation? If yes, how?
5. What are some real-life applications of geometric transformations like translations?

**Tip:** In translations, the signs of the changes to \(x\) and \(y\) indicate the direction: negative for left/down and positive for right/up.

Describe the transformation: (x, y) -> (x-2, y+7)

Learn how to describe the transformation (x, y) -> (x-2, y+7) as a translation. This problem involves shifting a point 2 units to the left and 7 units up, covering key concepts in coordinate geometry. Suitable for Grades 6-8.

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