Answer :

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)

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