Question

ABC is translated 7 units to the right and 1 unit up, thon reflected

across the y'axio. What are the coordinates of A after the
transformations?

Answer 1

1). (x, y) → [(x + 7), (y + 1)]

2). (9, 10)

3). (x, y) → (-x, y)

4). (-2, 9)

5). (-9, 10)

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)