It’s pre-image B I’m trying to find the new points so I can plot a new graph

Given:
coordinate rule is as
[tex](x,y)\rightarrow(-2y,-x)[/tex]Required:
We want to find new points of
[tex]\begin{gathered} A(-1,-2) \\ B(0,1) \\ C(4,-2) \end{gathered}[/tex]Explanation:
for (-1,-2)
[tex](-2(-2),-(-1))=(4,1)[/tex]for (0,1)
[tex](-2(1),0)=(-2,0)[/tex]and for (4,-2)
[tex](-2(-2),-(4))=(4,-4)[/tex]Final answer:
(4,1)
(-2,0)
(4,-4)