At the halftime show, a marching band marched in formation. The lead drummer started at a point with coordinates (−2, −5)(-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?

(x,y)→(x+1,y+3)

Did you know?

Did you know that translations in mathematics are movements of objects from one place to another without changing their size, shape, or orientation? In this case, the lead drummer of a marching band at the halftime show performed a translation by moving 3 steps up and 1 step right from their starting position at coordinates (-2, -5). To describe this translation rule, we can say that the drummer moved (x, y) units to the right and (x, y) units up. In this particular case, the drummer moved 1 unit right and 3 units up. By following this translation rule, the drummer's final position can be calculated. Starting from the initial coordinates of (-2, -5), the drummer moved 1 step right, resulting in an x-coordinate of -2 + 1 = -1. Then, the drummer moved 3 steps up, resulting in a y-coordinate of -5 + 3 = -2. Therefore, the final coordinates of the drummer's position after the translation are (-1, -2).