Question

the figure first then do the translation. 6) translation: 3 units up 4) translation: 1 unit right and 2 units down (x + 3, y)

Explanation:

To solve the translation problem, we first identify the coordinates of the original points. Let's assume the original coordinates of points \( G \), \( W \), and \( E \) from the grid:

• Let's find the coordinates:
• Point \( G \): From the grid, if we consider the origin \((0,0)\), \( G \) seems to be at \((0, 2)\) (assuming each grid square is 1 unit).
• Point \( W \): Let's say \( W \) is at \((2, 2)\).
• Point \( E \): Let's say \( E \) is at \((3, 0)\).

Now, we apply the translation: 1 unit right and 2 units down. The translation rule for a point \((x, y)\) is \((x + 1, y - 2)\).

Step 1: Translate Point \( G \)

Original coordinates of \( G \): \((0, 2)\)
After translation: \( (0 + 1, 2 - 2) = (1, 0) \)

Step 2: Translate Point \( W \)

Original coordinates of \( W \): \((2, 2)\)
After translation: \( (2 + 1, 2 - 2) = (3, 0) \)

Step 3: Translate Point \( E \)

Original coordinates of \( E \): \((3, 0)\)
After translation: \( (3 + 1, 0 - 2) = (4, -2) \)

(Note: If the original coordinates were different, the process would be similar. The key is to apply the translation rule \((x + 1, y - 2)\) to each vertex of the figure.)

If we consider the other translation (3 units up) for a point \((x, y)\), the rule is \((x, y + 3)\). For example, if we take a point \((a, b)\), after translating 3 units up, it becomes \((a, b + 3)\).

Final Answer (for the translation 1 unit right and 2 units down, using the assumed coordinates):

• Translated \( G \): \((1, 0)\)
• Translated \( W \): \((3, 0)\)
• Translated \( E \): \((4, -2)\)

(If you need the result for the 3 units up translation, apply \((x, y + 3)\) to the original coordinates. For example, if \( G \) is \((0, 2)\), after 3 units up, it's \((0, 2 + 3) = (0, 5)\).)

Answer:

To solve the translation problem, we first identify the coordinates of the original points. Let's assume the original coordinates of points \( G \), \( W \), and \( E \) from the grid:

• Let's find the coordinates:
• Point \( G \): From the grid, if we consider the origin \((0,0)\), \( G \) seems to be at \((0, 2)\) (assuming each grid square is 1 unit).
• Point \( W \): Let's say \( W \) is at \((2, 2)\).
• Point \( E \): Let's say \( E \) is at \((3, 0)\).

Now, we apply the translation: 1 unit right and 2 units down. The translation rule for a point \((x, y)\) is \((x + 1, y - 2)\).

Step 1: Translate Point \( G \)

Original coordinates of \( G \): \((0, 2)\)
After translation: \( (0 + 1, 2 - 2) = (1, 0) \)

Step 2: Translate Point \( W \)

Original coordinates of \( W \): \((2, 2)\)
After translation: \( (2 + 1, 2 - 2) = (3, 0) \)

Step 3: Translate Point \( E \)

Original coordinates of \( E \): \((3, 0)\)
After translation: \( (3 + 1, 0 - 2) = (4, -2) \)

(Note: If the original coordinates were different, the process would be similar. The key is to apply the translation rule \((x + 1, y - 2)\) to each vertex of the figure.)

If we consider the other translation (3 units up) for a point \((x, y)\), the rule is \((x, y + 3)\). For example, if we take a point \((a, b)\), after translating 3 units up, it becomes \((a, b + 3)\).

Final Answer (for the translation 1 unit right and 2 units down, using the assumed coordinates):

• Translated \( G \): \((1, 0)\)
• Translated \( W \): \((3, 0)\)
• Translated \( E \): \((4, -2)\)

(If you need the result for the 3 units up translation, apply \((x, y + 3)\) to the original coordinates. For example, if \( G \) is \((0, 2)\), after 3 units up, it's \((0, 2 + 3) = (0, 5)\).)