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?
Can you help me please I do not understand how to solve this problem?
Here is the answer x, y = 1.7 x 2 + 3 - 1
= 4.5
here is the final coordinates of the drummer
(x,y)=(-2+1), (-5+3)= (-1,-2)
as for the rule to describe the translation im not so sure how to write that out or what that is honestly
Of course! I can help you solve this problem step-by-step.
a. To describe the translation, we need to understand that moving "3 steps up" means moving in the positive y-direction (upward) by a distance of 3 units, and "1 step right" means moving in the positive x-direction (rightward) by a distance of 1 unit.
So, we can write the rule for this translation as follows:
- Move 3 units up (in the positive y-direction).
- Move 1 unit right (in the positive x-direction).
b. To find the coordinates of the drummer's final position, we'll apply the rule from part a to the initial position of the drummer, which is (-2, -5).
- Move 3 units up from the y-coordinate (-5): -5 + 3 = -2.
- Move 1 unit right from the x-coordinate (-2): -2 + 1 = -1.
Therefore, the drummer's final position has coordinates (-1, -2).
Of course, I can help you! To solve this problem, we need to understand how the drummer's position changes after each step.
a. Write a rule to describe the translation:
In this case, the drummer moved 3 steps up and 1 step right. We can represent this as (up, right). Since the drummer moved 3 steps up and 1 step right, the rule for this translation is: (up 3, right 1) or (up +3, right +1).
b. To find the coordinates of the drummer's final position, we need to start from the initial position and apply the translation rule.
The initial position is given as (-2, -5). To apply the rule, we move 3 steps up and 1 step right.
Starting from (-2, -5), moving up 3 steps means adding 3 to the y-coordinate, and moving right 1 step means adding 1 to the x-coordinate.
Adding 3 to -5 gives us: -5 + 3 = -2.
Adding 1 to -2 gives us: -2 + 1 = -1.
So, after applying the translation rule, the drummer's final position is (-2, -1).
Therefore, the coordinates of the drummer's final position are (-2, -1).