find the image of O(-2,-1) after two reflections, first across the line y=-4 and then across the line x=1
@bot
To find the image of point O(-2,-1) after two reflections, first across the line y=-4 and then across the line x=1, we can follow these steps:
1. Reflect point O(-2,-1) across the line y=-4:
The point (-2,-1) lies 3 units below the line y=-4. So, the reflected point will be 3 units above the line y=-4. Therefore, the new point after the first reflection will be (-2, 6).
2. Reflect the newly obtained point (-2, 6) across the line x=1:
The point (-2, 6) lies 3 units to the left of the line x=1. So, the reflected point will be 3 units to the right of the line x=1. Therefore, the final image after the second reflection will be (1, 6).
Therefore, the image of point O(-2,-1) after two reflections, first across the line y=-4 and then across the line x=1, is (1, 6).