Which of the following are the vertices of the image of the figure below under the translation (x,y) (x+1,y-3) ? (-6,4)a (2, 1)c (- 3, - 2) b

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]