Respuesta :

Answer:

The vertices of the image are  [tex]A'(-5,1),B'(-2,-5),C'(3,-2)[/tex]

Step-by-step explanation:

we know that

The rule of the translation is

[tex](x,y) -----> (x+1,y-3)[/tex]

That means ----> The translation is one unit at right and three units down

we have

[tex]A(-6,4), B(-3,-2),C(2,1)[/tex]

Applying the rule of translation

[tex]A(-6,4) -----> A'(-6+1,4-3)\\A'(-5,1)[/tex]

[tex]B(-3,-2) -----> B'(-3+1,-2-3)\\B'(-2,-5)[/tex]

[tex]C(2,1) ----> C'(2+1,1-3)\\C'(3,-2)[/tex]

therefore

The vertices of the image are

[tex]A'(-5,1),B'(-2,-5),C'(3,-2)[/tex]

Answer:

C: (-5,1), (3,-2), (-2,-5)