Question

The rectangle A B C D passes through A left parenthesis negative 4 comma 3 right parenthesis, B left parenthesis negative 2 comma 4 right parenthesis, C left parenthesis negative 1 comma 1 right parenthesis, and D left parenthesis negative 3 comma 0 right parenthesis. The rectangle A double dash B double dash C double dash D double dash passes through A double dash left parenthesis 4 comma negative 1 right parenthesis, B double dash left parenthesis 2 comma 0 right parenthesis, C double dash left parenthesis 1 comma negative 3 right parenthesis, and D double dash left parenthesis 3 comma negative 4 right parenthesis.Identify a sequence of rigid transformations that would map ABCD→A"B"C"D"
𝐴
𝐵
𝐶
𝐷
→
𝐴
"
𝐵
"
𝐶
"
𝐷
"
. Give your answer in the form of a composition transformation mapping.

(1 point)
Responses

(x,y)→(−x−4,y)
(
𝑥
,
𝑦
)
→
(
−
𝑥
−
4
,
𝑦
)

left parenthesis x comma y right parenthesis right arrow left parenthesis negative x minus 4 comma y right parenthesis

(x,y)→(x,−y−4)
(
𝑥
,
𝑦
)
→
(
𝑥
,
−
𝑦
−
4
)

left parenthesis x comma y right parenthesis right arrow left parenthesis x comma minus y negative 4 right parenthesis

(x,y)→(x,y+4)
(
𝑥
,
𝑦
)
→
(
𝑥
,
𝑦
+
4
)

left parenthesis x comma y right parenthesis right arrow left parenthesis x comma y plus 4 right parenthesis

(x,y)→(−x,y−4)

Answer 1

Reflection across the y-axis, then a translation down 4 units.

In function form: (x,y) → (-x, y) then → (-x, y-4), i.e. (x,y) → (-x, y-4).

So the correct choice is (x,y) → (−x, y−4).