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.