https://file.aiquickdraw.com/mathbot/file/1729616823443r52jaehj.jpg

In the provided image, the task is to reflect point \( D \) over the \( y \)-axis.

To reflect a point across the \( y \)-axis, we change the sign of the \( x \)-coordinate while keeping the \( y \)-coordinate unchanged. Let's analyze the coordinates of point \( D \) and reflect it.

1. **Coordinates of \( D \):**
   From the graph, the coordinates of point \( D \) appear to be approximately \( (2, -2) \).

2. **Reflection over the \( y \)-axis:**
   When reflecting over the \( y \)-axis, the rule is:
   \[
   (x, y) \rightarrow (-x, y)
   \]
   Applying this rule to the coordinates \( (2, -2) \), the new coordinates will be:
   \[
   (-2, -2)
   \]

3. **New Location of \( D' \):**
   After the reflection, the image of point \( D \) will be located at \( (-2, -2) \).

Let me know if you'd like more details, or if you have any further questions!

Here are some related questions:
1. How do you reflect a point over the \( x \)-axis?
2. What are the coordinates of point \( B \) after reflecting over the \( y \)-axis?
3. What is the general rule for reflecting a point over the origin?
4. How do reflections affect the shape and size of a geometric figure?
5. Can you reflect a point over a diagonal line like \( y = x \)? If so, how?

**Tip:** When reflecting over the \( y \)-axis, only the sign of the \( x \)-coordinate changes, not the \( y \)-coordinate.

Where will the image of D be located after a reflection over the y-axis?

Discover how to find the reflection of point D over the y-axis on a coordinate plane. This example demonstrates the core concepts of reflection and coordinate geometry, suitable for students in Grades 7-10.

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