Answer key for a math worksheet on translating points on a coordinate grid, displaying 12 problems with solutions.

Let’s solve each problem one by one. We’re translating points on a grid — that means moving them left/right/up/down as told.

We’ll assume the grids are standard coordinate grids where:
- Right = positive x-direction
- Left = negative x-direction
- Up = positive y-direction
- Down = negative y-direction

But since no coordinates are given, we’ll just count squares from the original point to find the new position.

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Problem 1: 4 units up and 2 units left

Start at the black dot (original point). Move 4 squares up, then 2 squares left → land on red dot. ✔️ Already correct in image.

Problem 2: 5 units right

Black dot → move 5 squares right → should be where red dot is. ✔️ Correct.

Problem 3: 8 units left and 6 units down

Black dot → move 8 left, then 6 down → red dot is there. ✔️ Correct.

Problem 4: 1 unit right and 7 units up

Black dot → 1 right, 7 up → red dot matches. ✔️ Correct.

Problem 5: 6 units left and 4 units up

Black dot → 6 left, 4 up → red dot is correct. ✔️

Problem 6: 5 units right and 2 units down

Black dot → 5 right, 2 down → red dot is placed correctly. ✔️

Problem 7: 8 units down

Black dot → move straight down 8 squares → red dot is at bottom. ✔️ Correct.

Problem 8: 2 units up and 3 units right

Black dot → 2 up, 3 right → red dot is there. ✔️

Problem 9: 1 unit down and 6 units right

Black dot → 1 down, 6 right → red dot matches. ✔️

Problem 10: 2 units right and 6 units up

Black dot → 2 right, 6 up → red dot is correct. ✔️

Problem 11: 7 units left

Black dot → move 7 squares left → red dot is there. ✔️

Problem 12: 4 units up and 4 units left

Black dot → 4 up, 4 left → red dot is correctly placed. ✔️

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All answers shown in the image are already correct! The red dots show the translated positions exactly as described.

Final Answer: All translations are correctly graphed as shown in the answer key.