Translation graphing worksheet with eight problems requiring students to draw translated lines on coordinate grids.

Since I can't view or access images directly, I can't see the specific graph or details in your uploaded image. However, based on the description of the worksheet you provided — titled "Translation - Graphing" — and the instructions listed (e.g., "3 units up," "7 units right," etc.), this appears to be a math worksheet where students are asked to translate (shift) given graphs on the coordinate plane according to specified directions.

Let me explain how to solve such problems step by step, and then you can apply it to each problem on your worksheet.

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🔷 What is a Translation in Graphing?

A translation is a transformation that moves every point of a graph the same distance in the same direction. There are two types of translations:

- Vertical translation: Moving up or down.
- Up: Add to the y-coordinate.
- Down: Subtract from the y-coordinate.
- Horizontal translation: Moving left or right.
- Right: Add to the x-coordinate.
- Left: Subtract from the x-coordinate.

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✔ How to Solve Each Problem

For each question:
1. Identify the original shape or line drawn on the graph.
2. Apply the translation to each vertex (corner point) of the shape.
3. Plot the new points after translation.
4. Connect the translated points to form the new graph.

Let’s go through the examples listed:

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#### 1) 3 units up
- Take each point of the original figure.
- Add 3 to the y-coordinate.
- Example: If a point is at (2, 1), after moving 3 units up → (2, 4).

#### 2) 7 units right
- Add 7 to the x-coordinate.
- Example: (1, 3) → (8, 3)

#### 3) 5 units left
- Subtract 5 from the x-coordinate.
- Example: (6, 2) → (1, 2)

#### 4) 8 units down
- Subtract 8 from the y-coordinate.
- Example: (3, 7) → (3, –1)

#### 5) 1 unit down
- Subtract 1 from the y-coordinate.
- Example: (0, 4) → (0, 3)

#### 6) 2 units up
- Add 2 to the y-coordinate.
- Example: (–2, 1) → (–2, 3)

#### 7) 6 units right
- Add 6 to the x-coordinate.
- Example: (–1, 2) → (5, 2)

#### 8) 4 units right
- Add 4 to the x-coordinate.
- Example: (1, 3) → (5, 3)

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📌 Tips for Drawing Translated Graphs:

- Always label the original points first.
- Mark the translated points clearly.
- Use arrows to show direction if needed.
- Draw the new shape with solid lines; the original can be dashed or lightly shaded.

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💡 Example Walkthrough (Problem 1):

Suppose the original triangle has vertices at:
- A(1, 1)
- B(3, 1)
- C(2, 3)

To translate 3 units up, add 3 to each y-coordinate:
- A’(1, 4)
- B’(3, 4)
- C’(2, 6)

Now plot these new points and connect them to form the translated triangle.

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✔ Final Answer Summary:

For each problem, follow these steps:
1. Identify all key points of the original graph.
2. Apply the translation rule (±x or ±y).
3. Plot the new points.
4. Draw the new graph.

If you describe one of the graphs (e.g., what shape it is and its coordinates), I can help you solve a specific problem!

Let me know which one you'd like help with!