What is the image point of left parenthesis, minus, 9, comma, minus, 7, right parenthesis(−9,−7) after a translation right 3 units and up 4 units?

To find the image of the point \((-9, -7)\) after a translation 3 units to the right and 4 units up, we perform the following steps:

1. **Translation right 3 units**: Add 3 to the x-coordinate.
   \[
   -9 + 3 = -6
   \]
2. **Translation up 4 units**: Add 4 to the y-coordinate.
   \[
   -7 + 4 = -3
   \]

Therefore, the image point after the translation is \((-6, -3)\).

Would you like further details or have any questions?

Here are 5 related questions:
1. What happens to a point when translated left or down?
2. How would you translate a point by negative units?
3. What is the effect of translating a point along only one axis?
4. How do you find the distance between two points after translation?
5. How would you perform a reflection instead of a translation?

**Tip:** When translating a point, always adjust the x and y coordinates based on the direction and distance specified.

What is the image point of (-9, -7) after a translation right 3 units and up 4 units?

Discover how to translate the point (-9, -7) by 3 units to the right and 4 units up. This solution demonstrates step-by-step how to adjust the x and y coordinates for translations, relevant for students in Grades 6-8 learning coordinate geometry.

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