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Answer :

Solution

Dilation with scale factor 1/2, then multiply by 1/2. (x, y) → (1/2x, 1/2y).

The coordinate of A is

[tex](-4,-2)[/tex]

Dilation with scale factor of 1/2

A'

[tex]\begin{gathered} A^{\prime}=\frac{1}{2}(-4,-2) \\ A^{\prime}=(-2,1) \end{gathered}[/tex]

The final answer

[tex]A^{\prime}=(-2,-1)[/tex]