What is the image point of left parenthesis, minus, 2, comma, 5, right parenthesis(−2,5) after a translation right 3 units and up 4 units?

To find the image point of \((-2, 5)\) after translating it 3 units to the right and 4 units up, we adjust the coordinates accordingly:

- **Right 3 units** means adding 3 to the x-coordinate.
  \[
  -2 + 3 = 1
  \]
  
- **Up 4 units** means adding 4 to the y-coordinate.
  \[
  5 + 4 = 9
  \]

So, the new coordinates after the translation are \( (1, 9) \).

Would you like further details or clarifications?

Here are some related questions:
1. How would you translate a point left and down?
2. What is the formula for translating points in geometry?
3. How do you reflect a point across an axis?
4. Can a translation change the size of a figure?
5. How do you combine multiple transformations, like translation and reflection?

**Tip:** Translations always preserve the shape and size of a figure; they only change its position.

What is the image point of (-2, 5) after a translation right 3 units and up 4 units?

Find the image point of (-2, 5) after translating 3 units to the right and 4 units up. This solution covers key geometry concepts, including coordinate plane translations, suitable for students in Grades 6-8.

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