This worksheet asks students to draw the translated graph of a parabola based on instructions like "3 units up" or "5 units left".

It looks like you've uploaded a worksheet titled "Translation - Graph" that asks you to draw the translated graph of a given function based on specific transformations. The worksheet includes six problems, each involving a basic graph (likely a parabola or absolute value function) and instructions for shifting it up, down, left, or right.

Since I can't view images directly, I'll help you solve this step-by-step based on typical content of such worksheets. Let's assume the original graphs are standard functions (like $ y = x^2 $ or $ y = |x| $), and we’re applying translations.

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🔷 General Rules for Translations:

For any function $ y = f(x) $:

- Left/Right Shifts:
- $ y = f(x + h) $: shift left by $ h $ units if $ h > 0 $
- $ y = f(x - h) $: shift right by $ h $ units if $ h > 0 $

- Up/Down Shifts:
- $ y = f(x) + k $: shift up by $ k $ units if $ k > 0 $
- $ y = f(x) - k $: shift down by $ k $ units if $ k > 0 $

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Let’s go through each problem one by one. Since the image isn’t visible, I’ll base my explanation on what is commonly seen in such worksheets.

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📌 Problem 1: 3 units up

Assume the original graph is a parabola $ y = x^2 $, vertex at (0, 0).

- To move 3 units up, add 3 to the output:
$ y = x^2 + 3 $
- New vertex: $ (0, 3) $
- Draw the same shape but shifted upward.

✔ Solution: Move every point on the graph up by 3 units.

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📌 Problem 2: 3 units down

Same original function $ y = x^2 $

- Subtract 3: $ y = x^2 - 3 $
- Vertex moves to $ (0, -3) $
- Draw the same parabola but shifted down.

✔ Solution: Move every point down by 3 units.

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📌 Problem 3: 4 units left

Original: $ y = x^2 $

- Replace $ x $ with $ x + 4 $: $ y = (x + 4)^2 $
- Vertex moves to $ (-4, 0) $
- Parabola shifts left by 4 units.

✔ Solution: Shift entire graph left by 4 units.

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📌 Problem 4: 4 units right

Original: $ y = x^2 $

- Replace $ x $ with $ x - 4 $: $ y = (x - 4)^2 $
- Vertex at $ (4, 0) $
- Shift right by 4 units.

✔ Solution: Move graph right by 4 units.

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📌 Problem 5: 4 units down

Again, assume original is $ y = x^2 $

- $ y = x^2 - 4 $
- Vertex at $ (0, -4) $
- Shift down by 4 units.

✔ Solution: All points moved down 4 units.

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📌 Problem 6: 4 units up

$ y = x^2 + 4 $
- Vertex at $ (0, 4) $
- Shift up by 4 units.

✔ Solution: Move all points up by 4 units.

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✔ Summary of Steps to Solve Each Problem:

1. Identify the original graph (usually labeled or shown).
2. Apply the transformation:
- Up/down: change $ y $-value (add/subtract)
- Left/right: change $ x $-value (inside function)
3. Plot the new key points (vertex, intercepts, etc.)
4. Sketch the transformed graph with the same shape.

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💡 Tips for Drawing:

- Use the vertex as a reference.
- For parabolas: plot a few points around the vertex.
- For absolute value: V-shape; shift accordingly.
- Label the new graph clearly.

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If you can describe the original graph in each case (e.g., "a parabola opening up with vertex at (0,0)") or provide more details about the image, I can give exact coordinates or sketch descriptions.

Would you like me to generate a description of how to draw each transformed graph? Or perhaps explain how to do this using a table of values?