https://file.aiquickdraw.com/mathbot/file/17287495128349o1zql8s.jpg

To solve this problem, we need to apply the translation to each of the vertices of the quadrilateral.

The translation is:
- Up 2 units (this means adding 2 to the y-coordinate).
- Left 1 unit (this means subtracting 1 from the x-coordinate).

Given vertices:
- A(-4, -2)
- B(-5, 3)
- C(6, 2)
- D(9, -1)

### Translation Steps:
For each vertex, we apply the translation as follows:
1. New x-coordinate = original x-coordinate - 1
2. New y-coordinate = original y-coordinate + 2

Now, let’s calculate the new coordinates:

1. **A'**:
   - Original: A(-4, -2)
   - New x = -4 - 1 = -5
   - New y = -2 + 2 = 0
   - A'(-5, 0)

2. **B'**:
   - Original: B(-5, 3)
   - New x = -5 - 1 = -6
   - New y = 3 + 2 = 5
   - B'(-6, 5)

3. **C'**:
   - Original: C(6, 2)
   - New x = 6 - 1 = 5
   - New y = 2 + 2 = 4
   - C'(5, 4)

4. **D'**:
   - Original: D(9, -1)
   - New x = 9 - 1 = 8
   - New y = -1 + 2 = 1
   - D'(8, 1)

### Final Translated Coordinates:
- A'(-5, 0)
- B'(-6, 5)
- C'(5, 4)
- D'(8, 1)

Let me know if you want more details on the translation process or have any questions!

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Here are 5 related questions you might consider:
1. How do translations differ from rotations or reflections in geometry?
2. What is the effect of translating a point by \( (a, b) \)?
3. How do you find the area of a quadrilateral given its vertices?
4. How would the coordinates change if the translation was down instead of up?
5. Can you describe a translation using vector notation?

### Tip:
Always check if the translation is positive (up/right) or negative (down/left) to adjust the coordinates accordingly.

Find the coordinates after the quadrilateral is translated up 2 units and left 1 unit. The vertices of a quadrilateral are A(-4, -2), B(-5, 3), C(6, 2), and D(9, -1).

Learn how to find the new coordinates of a quadrilateral when it is translated 2 units up and 1 unit left. The vertices A(-4, -2), B(-5, 3), C(6, 2), and D(9, -1) are shifted according to the rules of translation, providing a clear step-by-step solution. Suitable for students in Grades 6-8.

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