A(4, -1), B(3, 8), C(-1, 1); y = -2

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Question:

A(4, -1), B(3, 8), C(-1, 1); y = -2

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Answer:Point A: (4, -3)Point B: (3, -12)Point C: (-1, -5)Step-by-step explanation:Reflection of point A:The x will stay the same and only the y will change.Take the y-coordinate and subtract it from the reflection line while getting the absolute value.. |(-1) - (-2)| = |1| = 1This means, point A is one unit down the line y = -2(-2) - 1 = -3The coordinate for A will now be (4, -3).Reflection of point B:Again, the x will stay the same and only the y will change.Using the absolute value, get the y-coordinate and subtract it from the reflection line again..|(8) - (-2)| = |10| = 10This means, point A is five unit down the line y = -2(-2) - 10 = -17The coordinate for B will now be (3, -12).Reflection of point C:I think you get the gist of it.|(1) - (-2)| = |3| = 3(-2) - 3 = -5The coordinate for C will now be (-1, -5).I added an image down below of what the reflection looks like. Sometimes it helps to see things visually. The red triangle is the original image and the blue triangle is the image after the reflection. The purple line is the reflection line y = -2Hope this helped!

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