Question

Use the graph to answer the question. What are the coordinates of A' and B' when AB is reflected in the y-axis? Show your work or explain how you got your answer.

Answer 1

To find the coordinates of points A' and B' after reflecting points A and B across the y-axis, we can follow these steps:

1. **Identify Original Coordinates**: Let’s assume that the coordinates of points A and B are given as \( A(x_A, y_A) \) and \( B(x_B, y_B) \).

2. **Apply Reflection Rule**: The rule for reflecting a point across the y-axis is to change the sign of the x-coordinate while keeping the y-coordinate the same. Thus, if we reflect point A, its new coordinates will be:
\[
A'(x_A', y_A') = (-x_A, y_A)
\]
Similarly, for point B, its new coordinates after reflection will be:
\[
B'(x_B', y_B') = (-x_B, y_B)
\]

3. **Compute New Coordinates**: Substitute the original coordinates of A and B into these equations to find A' and B'.

### Example:
If \( A(3, 2) \) and \( B(-1, 5) \), then after reflection:
- **For point A**:
\[
A' = (-3, 2)
\]
- **For point B**:
\[
B' = (1, 5)
\]

### Conclusion:
Thus, the coordinates of A' and B' after reflecting AB in the y-axis are \( (-3, 2) \) and \( (1, 5) \) respectively.

Please provide the specific coordinates of points A and B if you have them, and I can compute A' and B' accordingly!