https://file.aiquickdraw.com/mathbot/file/1726877968349q7xkgetd.jpg

The task is to identify the transformation needed to match the shaded pre-image (solid shape) to the dashed image (target shape) shown on the graph. 

### Analysis:
1. **Pre-image (solid)**: The shaded rectangle is located from (2, 1) to (4, 5).
2. **Image (dashed)**: The dashed rectangle is from (6, 1) to (8, 5).

### Transformation Type:
- The pre-image has been shifted horizontally without changing its size or orientation.
- This indicates a **Horizontal Translation**.

### Translation Details:
- The movement is 4 units to the right, as the entire shape shifts from starting at x=2 to x=6.

Therefore, the correct transformation is **Horizontal Translation** of 4 units to the right.

Would you like more details on this transformation or have any questions? Here are some related questions to explore further:

1. How do you determine the direction and magnitude of a translation?
2. What is the difference between horizontal and vertical translation?
3. How would you perform a reflection transformation on this figure?
4. What happens to coordinates during a rotation transformation?
5. How does dilation affect a figure compared to other transformations?

**Tip:** Always compare corresponding points to determine the exact nature of the transformation!

Select the transformation needed to match the shaded pre-image to the dashed image. You can use only one transformation.

Learn how to identify the necessary transformation to match a shaded pre-image to its target image using a horizontal translation. The problem involves shifting a rectangle 4 units to the right on a coordinate grid. Suitable for students in Grades 6-8.

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