Answer:
Part a) The rule of the translation is (x,y) -----> (x+1,y+3)
Part b) The coordinates of the drummer's final position are (-1,-2)
Step-by-step explanation:
Part a) Write a rule to describe the translation
we know that
The lead drummer moved 3 steps up and 1 step right.
so
3 steps up ----> that means (y+3)
1 step right ---> that means (x+1)
The rule of the translation is equal to
(x,y) -----> (x+1,y+3)
Part b) What were the coordinates of the drummer's final position?
we know that
The drummer's initial position is the point (-2,-5)
Applying the rule of the translation
(x,y) -----> (x+1,y+3)
(-2,-5) -----> (-2+1,-5+3)
(-2,-5) -----> (-1,-2)
therefore
The coordinates of the drummer's final position are (-1,-2)
