Question

AB has points A at (2,−5) and B at (5,−3).

AB iis reflected across the y-axis and then translated 3 units right. What are the coordinates of the endpoints of the image A′B'?

Answer 1

9514 1404 393

Answer:

• A'(1, -5)
• B'(-2, -3)

Step-by-step explanation:

Reflection over the y-axis and translation 3 right is modeled by the transformation ...

  (x, y) ⇒ (-x +3, y)

Then the image end points are ...

  A(2, -5) ⇒ A'(-2+3, -5) = A'(1, -5)

  B(5, -3) ⇒ B'(-5+3, -3) = B'(-2, -3)

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In the attached figure, the reflection is shown as A'B' in light purple. The line after the final translation is shown as A"B" in blue.