Unit 4 lesson 9 help meh: Enter your answer and show all the steps that you use to solve this problem in the space provided.
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.
Write a rule to describe the translation.
What were the coordinates of the drummer's final position?
To describe the translation rule, we need to understand how the lead drummer moved from their starting position to the final position. According to the problem, the lead drummer moved 3 steps up and 1 step right.
In terms of coordinates, moving up means increasing the y-coordinate, and moving right means increasing the x-coordinate.
So, the translation rule can be written as follows:
"Translate (x, y) to (x + 1, y + 3)."
To find the coordinates of the drummer's final position, we apply the translation rule to the starting position.
Starting position: (-2, -5)
Translation rule: (x, y) -> (x + 1, y + 3)
Now, let's apply the rule to the starting position:
x + 1 = -2 + 1 = -1
y + 3 = -5 + 3 = -2
Therefore, the coordinates of the drummer's final position are (-1, -2).
To describe the translation, we need to determine the change in the x-coordinate (horizontal) and the change in the y-coordinate (vertical) as the drummer moves.
Given that the lead drummer started at (-2, -5) and moved 3 steps up (positive y-direction) and 1 step right (positive x-direction), the rule for the translation can be written as follows:
Translate (x, y) → (x + 1, y + 3)
To find the drummer's final position, we apply the translation rule to the initial coordinates:
New x-coordinate: -2 + 1 = -1
New y-coordinate: -5 + 3 = -2
Therefore, the drummer's final position is (-1, -2).