Question

When a figure is reflected over the y - axis then lowered 6 units.

A (x, y) arrowright (x, −y) and (x, y) arrowright (x, y − 6)
B (x, y) arrowright (−x, y) and (x, y) arrowright (x, y − 6)
C (x, y) arrowright (−x, y) and (x, y) arrowright (x − 6, y)
D (x, y) arrowright (x, −y) and (x, y) arrowright (x − 6, y)
what sequence describes the transformation

Answer 1

B
B

B
B
B

B
B
B

BBBBBBBBBB

Answer 2

B

Explanation:

If a figure is reflected over the y-axis, its y-coordinates remain the same and x-coordinates become opposite. This means that the reflection over the y-axis has the rule

`(x,y)\rightarrow (-x,y)`

When a figure is translated (lowered) 6 units down, then the rule of this translation is

`(x,y)\rightarrow (x,y-6)`

Hence, correct option is B

`(x,y)\rightarrow (-x,y)`

and

`(x,y)\rightarrow (x,y-6)`