Question

2. After the translation, where Is Alocated? Write your answer in the space below. Text

Answer 1

9514 1404 393

Answer:

  A'(-3, 13)

Step-by-step explanation:

The transformation that moves a point 4 left and 8 up is ...

  (x, y) ⇒ (x -4, y +8)

The transformation that reflects a point across the y-axis is ...

  (x, y) ⇒ (-x, y)

Applied after the translation, the transformation of ∆ABC becomes ...

  (x, y) ⇒ (-(x -4), y +8) = (4 -x, y +8)

Then point A gets moved to ...

  A(7, 5) ⇒ A'(4 -7, 5 +8) = A'(-3, 13)

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In the attached graph, the purple triangle is the result of the translation 4 left and up 8. Then the blue one is after reflection across the y-axis.