Question

ABC is translated 4 units to the left and 8 units up, then reflected across the y-axis. Answer the questions to find the coordinates of A after the transformations.

2. After the Translations, where is A located?
4. What are the coordinates of A after the reflection?
5. After the two transformations, has A returned to its original location?​

Answer 1

9514 1404 393

Answer:

2. A'(3, 13)

4. A''(-3, 13)

5. No

Explanation:

2. The translation is represented by the transformation ...

(x, y) ⇒ (x-4, y+8)

A(7, 5) ⇒ A'(7-4, 5+8) = A'(3, 13)

__

4. The reflection is represented by the transformation ...

(x, y) ⇒ (-x, y)

A'(3, 13) ⇒ A''(-3, 13)

__

5. No. The location (-3, 13) is not the same as the original location (7, 5).