Q:

At the halftime show, a marching band marched in formation. The lead drummer started at a point with coordinates (-2, -5) and moved 3 steps up and 1 step right. a. Write a rule to describe the translation.b.What were the coordinates of the drummer's final position?

Accepted Solution

A:
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 translationwe know thatThe lead drummer moved 3 steps up and 1 step right.so3 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 thatThe 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)thereforeThe coordinates of the drummer's final position are (-1,-2)