Answer:
1). (x, y) → [(x + 7), (y + 1)]
2). (9, 10)
3). (x, y) → (-x, y)
4). (-2, 9)
5). (-9, 10)
Step-by-step explanation:
Given: Triangle ABC is translated 7 units right and 1 unit up, then reflected across the y-axis.
Rule for the translation of A is,
(x, y) → [(x + 7), (y + 1)]
After the translation point A moves to,
(2, 9) → [(2+7), (9+1)]
→ (9, 10)
The rule for a reflection over the y-axis is,
(x, y) → (-x, y)
The coordinates of A after the reflection are,
(2, 9) → (-2, 9)
The final position of A,
(-9, 10)
