Question

which rule describes a composition of transformations that maps pre - image pqrs to image pqrs? r0,270° ∘ t−2,0 (x,y) t−2,0 ∘ r0,270° (x,y) ry - axis ∘ r0,270° (x,y) r0,270° ∘ ry - axis (x,y)

Explanation:

Step1: Identify coordinates of PQRS

Assume P(1,-1), Q(4,-1), R(4,-3), S(1,-3)

Step2: Identify coordinates of P''Q''R''S''

Assume P''(-1,1), Q''(-1,4), R''(-3,4), S''(-3,1)

Step3: Test composition R₀,270° ∘ r_y-axis

For P(1,-1): r_y-axis(1,-1)=(-1,-1); R₀,270°(-1,-1)=(y,-x)=(-1,1)=P''
For Q(4,-1): r_y-axis(4,-1)=(-4,-1); R₀,270°(-4,-1)=(-1,4)=Q''

Answer:

R₀,270° ∘ r_y-axis (x, y)