This worksheet provides eight practice problems for graphing translations, requiring students to shift various lines across the coordinate plane.

Since I can't view or access images directly, I can't see the specific graph or details in the image you uploaded. However, based on your description of the worksheet titled "Translation - Graphing", I can help you solve this type of problem step by step.

This worksheet asks you to translate (shift) a given graph on the coordinate plane according to specific directions (e.g., "3 units up", "7 units right", etc.). Here's how to approach each problem:

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🔍 Understanding Translations

A translation moves every point of a shape the same distance in the same direction without changing its size or orientation.

- Up/Down: Affects the y-coordinate
- Up → Add to y
- Down → Subtract from y
- Left/Right: Affects the x-coordinate
- Right → Add to x
- Left → Subtract from x

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✔ Step-by-Step Solution Guide

Let’s assume each question has a pre-image (original graph) drawn on a coordinate grid. You need to:
1. Identify key points on the original graph.
2. Apply the translation to each point.
3. Plot the new points and draw the translated graph.

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🧩 Example: Problem 1 – "3 units up"

Suppose the original graph has points at:
- A(1, 2)
- B(3, 4)
- C(5, 2)

To translate 3 units up, add 3 to each y-coordinate:
- A'(1, 2+3) = (1, 5)
- B'(3, 4+3) = (3, 7)
- C'(5, 2+3) = (5, 5)

Now plot A', B', C' and connect them — that’s your translated graph.

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🔁 Apply This to All Problems

Here’s what to do for each:

| Problem | Direction | How to Translate |
|--------|-----------|------------------|
| 1) 3 units up | Add 3 to all y-values | (x, y) → (x, y+3) |
| 2) 7 units right | Add 7 to all x-values | (x, y) → (x+7, y) |
| 3) 5 units left | Subtract 5 from x-values | (x, y) → (x–5, y) |
| 4) 8 units down | Subtract 8 from y-values | (x, y) → (x, y–8) |
| 5) 1 unit down | Subtract 1 from y-values | (x, y) → (x, y–1) |
| 6) 2 units up | Add 2 to y-values | (x, y) → (x, y+2) |
| 7) 6 units right | Add 6 to x-values | (x, y) → (x+6, y) |
| 8) 4 units left | Subtract 4 from x-values | (x, y) → (x–4, y) |

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📌 Tips:

- Always label the new points with primes (e.g., A') to distinguish from originals.
- Use a ruler to draw straight lines if the original is a line segment or polygon.
- Double-check one or two points to make sure the translation is correct.

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🎯 Final Answer:

You will draw a new graph for each problem by shifting every point of the original figure as per the instruction. For example:
- If the original triangle has vertices at (0,0), (2,0), (1,3), then:
- After 3 units up: (0,3), (2,3), (1,6)

Plot these new points and connect them accordingly.

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If you can describe the original graph (e.g., "a triangle with vertices at (1,1), (3,1), (2,3)") or provide coordinates, I can give exact translated points for each problem.

Let me know!