Explanation
To find the answer, we will have to list out the coordinates of J,C, Y, and K as follow
[tex]\begin{gathered} J=(2,-1) \\ C=(2,2) \\ K=(-1,-1) \\ Y=(-1,2) \end{gathered}[/tex]
When the object is rotated 180 degrees anticlockwise
[tex]A^{\prime}=(-x,-y)[/tex]
[tex]\begin{gathered} J^{\prime}=(-2,1) \\ C^{\prime}=(-2,-2) \\ K^{\prime}=(1,1) \\ Y^{\prime}=(1,-2) \end{gathered}[/tex]
Finally
By translating 2 units down
We will have the final answer by subtracting 2 from the y-cordinate.
The final answer is
[tex]\begin{gathered} J^{\prime}=(-2,-1) \\ C^{\prime}=(-2,-4) \\ K^{\prime}=(1,-1) \\ Y^{\prime}=(1,-4) \end{gathered}[/tex]
