Answer:
The coordinates of each vertex are
A'(-3, 0),B'(8,3) and C'(2,-9)
Step-by-step explanation:
we know that
The triangle is translated 4 units right and 6 units down
That means
The rule for the translation is equal to
(x,y) -------> (x+4,y-6)
Apply the rule of the translation to the coordinates of vertices ABC to obtain the vertices of the image A'B'C'
so
A(-7, 6) -----> A'(-7+4, 6-6)
A(-7, 6) -----> A'(-3, 0)
B(4, 9) ----> B'(4+4,9-6)
B(4, 9) ----> B'(8,3)
C(-2, -3) ----> C'(-2+4,-3-6)
C(-2, -3) ----> C'(2,-9)
