https://file.aiquickdraw.com/mathbot/file/1727309860326k0hllg6p.jpg

The problem asks for the translation of point \( J(-9, 6) \) by 5 units to the right and 4 units up.

1. **Translation to the Right**: 
   - Moving the point 5 units to the right increases the \( x \)-coordinate by 5.
   \[
   x = -9 + 5 = -4
   \]
   
2. **Translation Up**: 
   - Moving the point 4 units up increases the \( y \)-coordinate by 4.
   \[
   y = 6 + 4 = 10
   \]

Therefore, after the translation, the new coordinates of point \( J \) are \( (-4, 10) \).

You can now plot this new point on the graph at \( (-4, 10) \).

Would you like more details or have any further questions?

Here are 5 related questions:
1. What happens to the coordinates if the translation moves the point left instead of right?
2. How would you represent a reflection across the y-axis using coordinates?
3. What if you translated the point downwards by 4 units instead of upwards?
4. How does translating a point differ from reflecting a point across an axis?
5. How would a rotation of 90 degrees affect the coordinates?

**Tip:** A translation doesn't change the shape or size of a figure, only its position.

Graph the image of J(-9, 6) after a translation 5 units right and 4 units up.

Learn how to graph the translation of point J(-9, 6) after shifting 5 units right and 4 units up. Explore translation concepts, coordinate geometry, and how to apply the translation theorem to solve this problem. Suitable for students in Grades 7-9.

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