Absolute Value Equations Color by Number - Free Printable

It looks like you've uploaded a "Color by Number" activity titled "Graphing Absolute Value Equations" from Fun Arithmetic, designed for Algebra 2 students. However, the image itself shows only the colored result of the activity — a beautiful, symmetrical mandala-like design with numbers inside various regions — but does not include the actual equations or coloring key.

To help you solve this problem, I’ll walk through how such an activity typically works and what you’d need to do to complete it. Since the image is just the final colored version, I can't see the original equations or the color-number key. But here's how you'd approach it:

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🔍 How "Color by Number: Graphing Absolute Value Equations" Works

1. You are given a set of absolute value equations (e.g., $ y = |x - 3| + 2 $).
2. For each equation:
- You graph it on a coordinate plane.
- The graph will be a V-shaped line (since absolute value functions have a vertex).
3. Each graphed function corresponds to a numbered region in the mandala.
4. After graphing, you identify which region(s) match the graph’s shape or location.
5. Then, using a color key (like: 1 = Blue, 2 = Green, etc.), you color the corresponding regions.

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🎨 Example: Step-by-Step Process

Let’s say one of the problems is:

> Graph: $ y = |x| $

- This is a V-shape with vertex at (0,0), opening upward.
- It might correspond to region #1 in the mandala.
- If the key says 1 = Purple, then you color region #1 purple.

Another example:

> Graph: $ y = |x - 2| $

- Vertex at (2,0), shifted right.
- Might match region #5 → if 5 = Orange, color that orange.

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🧩 Missing Elements

From your image, we can see:
- Numbers from 1 to 12 are placed in different sections.
- Some regions are already colored (right side), others are blank (left side).
- The colored parts suggest the correct answer.

But to solve the problem, you need:
1. The list of absolute value equations.
2. The color code (e.g., 1 = Blue, 2 = Yellow, etc.).
3. A way to match graphs to regions.

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✔ What You Can Do Now

If you're trying to complete this worksheet:
1. Find the original worksheet (likely available from Fun Arithmetic or your teacher).
2. Look for a table like:
```
Equation → Region Number → Color
y = |x| → 1 → Purple
y = |x - 3| → 5 → Orange
y = |x| + 2 → 7 → Black
```

3. Graph each equation on paper or digitally.
4. Match the graph’s shape/position to the numbered region.
5. Color accordingly.

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🌈 Why This Is Educational

This activity combines:
- Graphing skills
- Understanding transformations of absolute value functions (shifts, reflections)
- Visual learning via coloring
- Pattern recognition

It’s a fun way to reinforce algebraic concepts!

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❓Need Help With Specific Equations?

If you can provide:
- The list of equations
- The color key
- Or describe the uncolored regions

I can help you solve each one step by step and tell you which number goes where and what color to use.

Let me know!