Question

Click for Long Desc
The rectangle A B C passes through A left parenthesis negative 5 comma 2 right parenthesis, B left parenthesis negative 2 comma 4 right parenthesis, and C left parenthesis negative 3 comma 0 right parenthesis. The triangle A double dash B double dash C double dash passes through A double dash left parenthesis negative 1 comma negative 2 right parenthesis, B double dash left parenthesis 2 comma negative 4 right parenthesis, and C double dash left parenthesis 1 comma 0 right parenthesis.


Identify the sequence of transformations that will carry ΔABC→ΔA"B"C"
. Give your answer in the form of a composition transformation mapping.

(1 point)
Responses

(x,y)→(x−4,−y)

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

(x,y)→(x,−y+4)

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

(x,y)→(x,−y−4)

open paren x comma y close paren rightarrow open paren x comma negative y minus 4 close paren

(x,y)→(x+4,−y)

Answer 1

(x,y) → (x+4, −y)

This is reflection across the x-axis followed by a translation 4 units to the right:
A(−5,2) → (−5,−2) → (−1,−2), B(−2,4) → (−2,−4) → (2,−4), C(−3,0) → (−3,0) → (1,0).