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Answer:

C. 180-degree rotation counterclockwise followed by a translation of 5 units to the left

Step-by-step explanation:

Answer:

180° counterclockwise rotation about the origin followed by a translation 5units left

Step-by-step explanation:

Rule for 180° counterclockwise rotation is

  • (x,y)=(-x,-y)

Take any point to prove

let it be A

  • A(-4,-1)

Rotate

  • A'(-(-4),-(-1))
  • A'(4,1)

Translate 5 units left(change in x)

  • A"=(4-5,1)
  • A"=(-1,1)

Yes verified