Respuesta :

Answers:

A'(8, 16)

B'(8, -4)

C'(-16, 4)

Explanation:

The new coordinates of the figure can be calculated as:

[tex](x,y)\to(k\cdot x,k\cdot y)[/tex]

Where k is the scale factor. So, the new coordinates are:

[tex]A(2,4)\to(4\cdot2,4\cdot4)=A^{\prime}(8,16)[/tex][tex]B(2,-1)\to(4\cdot2,4\cdot-1)=B^{\prime}(8,-4)[/tex][tex]C(-4,1)\to(4\cdot-4,4\cdot1)=C^{\prime}(-16,4)[/tex]

Therefore, the answers are:

A'(8, 16)

B'(8, -4)

C'(-16, 4)

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