At a halftime show a matching band marched in formation. The lead drummer started at a point with coordinates (-2,-5) and moved 3 steps up and 1 step right.

Question

A. Write a rule to describe the translation 

B. What were the coordinates of the drummers final position? 

Answer 1

It definitely helps to draw it out. That is how I did it. If you think of the drummer as a point on a coordinate axis you know from the problem that he starts at the point (-2,-5).

 

He moves 1 step right and 3 steps up from there so if you do the moves on your coordinate axis you will see that he moves according to the vector <1,3>. This is just a fancy way of describing his motion.

 

The rule for this translation would be (x+1,y+3) because he moves 1 step right and 3 steps up so you add 1 to the x coordinate and 3 to the y coordinate. 

 

Now that we know the rule it is easy to see what the final coordinates are. 

 

(-2+1,-5+3) = (-1,-2)

 

Let me know if I need to clarify anything. Hope this helps.