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The problem asks for the coordinates of point \( C' \) after point \( C \) is reflected across the y-axis. Point \( C \) is given as \( (-3, -2) \).

### Reflection Across the y-axis:
When a point \((x, y)\) is reflected across the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. Therefore, the coordinates of the reflected point \( C' \) can be found using the following rule:

\[
C'(x, y) \rightarrow C'(-x, y)
\]

### Applying this to the given point \( C(-3, -2) \):

\[
C' = (-(-3), -2) = (3, -2)
\]

### Quadrant Location:
- Point \( C(3, -2) \) is in **Quadrant IV**, where x is positive, and y is negative.

So, the correct answer is **Quadrant IV**.

Would you like further details or have any other questions? Here are 5 related questions to consider:

1. What are the rules for reflecting a point across the x-axis?
2. How do you reflect a point across the origin?
3. What are the coordinates of a point after being reflected across the line \(y = x\)?
4. Can you determine the distance between point \( C \) and its reflection \( C' \)?
5. How do the coordinates change when reflecting a point across the line \(y = -x\)?

**Tip:** Always pay close attention to which axis or line a point is being reflected across, as this determines how the coordinates will change.

Find the coordinates of point C' after point C is reflected across the y-axis. In which quadrant will point C' be located?

Learn how to reflect a point across the y-axis and determine its new coordinates and quadrant. This problem involves key geometry concepts suitable for students in Grades 7-9.

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