Question

8. Workpad Note: Remember to show all of the steps you use to solve a problem. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure yiu recieve proper credit for your answer.

At the half-time 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?

Answer 1

start at -2 on the y axis then go to the left 5

(2,-5) (3,-3)

Answer 2

Answer: a) (x, y) → (x + 1, y + 3)

b) (2, -5) → (3, -2)

Explanation:

the x-axis goes left and right, so 1 step to the right means you need to add 1 unit to the x-coordinate.

the y-axis goes up and down, so 3 steps up means you need to add 3 units to the y-coordinate.

Rule:

If original x-coordinate is x, then the new coordinate is x + 1 (x → x+1)

If original y-coordinate is y, then the new coordinate is y + 3 (y → y+3)

Final position:

If original x-coordinate is 2, then the new coordinate is 2 + 1 (2 → 3)

If original y-coordinate is -5, then the new coordinate is -5 + 3 (-5 → -2)