reflecting this point across the y-axis, we will:
1. Change the sign of the x-coordinate: -3 becomes 3.
2. Keep the y-coordinate the same: -4 remains -4.
Therefore, the coordinates of B' would be (3, -4), which corresponds to option D.
To determine the coordinates of B' after the triangle is reflected across the y-axis, we need to understand that reflecting a point across the y-axis will change the sign of the x-coordinate, while the y-coordinate will remain the same.
Here's how you can determine the coordinates step-wise:
1. Identify the original coordinates of point B.
2. Since the reflection is across the y-axis, change the sign of the x-coordinate of point B. The y-coordinate remains unchanged.
3. The resulting coordinates will be those of point B'.
Given that the triangle is being reflected across the y-axis, we can see from the image that point B is at (-3, -4).
Now, reflecting this point across the y-axis, we will:
1. Change the sign of the x-coordinate: -3 becomes 3.
2. Keep the y-coordinate the same: -4 remains -4.
Therefore, the coordinates of B' would be (3, -4), which corresponds to option D.
So, without any calculation, it's clear that the answer is D (3, -4).