https://file.aiquickdraw.com/mathbot/file/1728532986438vbuweqle.jpg

The question asks you to perform a translation of the given shape on the grid. Specifically, you are asked to apply the translation \((-3, 2)\) to the object shown.

### Steps to solve this:
1. **Understand the translation vector**: 
   - The vector \((-3, 2)\) means:
     - Move the shape 3 units to the left (since -3 is negative).
     - Move the shape 2 units up (since 2 is positive).
   
2. **Apply the translation**:
   - Take each vertex of the shape and move it according to the vector. For each vertex, subtract 3 from the x-coordinate (horizontal shift) and add 2 to the y-coordinate (vertical shift).
   
3. **Redraw the shape** in its new position on the grid using the new coordinates.

Would you like a detailed breakdown of how to calculate the new positions for each vertex?

Here are some related questions to deepen your understanding:
1. How do you determine the direction of movement from a translation vector?
2. What happens when you apply multiple translations to the same object?
3. How is translation different from other transformations like rotation or reflection?
4. Can you describe a situation where translation is useful in real-world geometry problems?
5. How does a negative sign in the translation vector affect the movement?

**Tip**: When translating an object, it's easiest to work with the vertices first, as you can then connect them to form the new shape.

Draw the image for the given shape using the translation (-3, 2).

Learn how to translate a shape on a coordinate grid using the translation vector (-3, 2). This problem involves shifting a geometric shape 3 units to the left and 2 units up. Step-by-step solution suitable for students in Grades 7-10.

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