Answer:
[tex]A'(-3,0),B'(8,3),C'(2,-9)[/tex]
Step-by-step explanation:
we know that
the triangle is translated 4 units right and 6 units down
so
The rule for the translation is
[tex](x,y) -----> (x+4,y-6)[/tex]
Applying the rule for the translation find the image of each vertex
1) [tex]A(-7,6) -----> A'(-7+4,6-6)[/tex]
[tex]A(-7,6) -----> A'(-3,0)[/tex]
2) [tex]B(4,9) -----> B'(4+4,9-6)[/tex]
[tex]B(4,9) -----> B'(8,3)[/tex]
3) [tex]C(-2,-3) -----> C'(-2+4,-3-6)[/tex]
[tex]C(-2,-3) -----> C'(2,-9)[/tex]
