https://file.aiquickdraw.com/mathbot/file/1727277505763keou4xa6.jpg

Let's analyze the transformation step-by-step based on the graph and the instructions.

We are asked to reflect the triangle (and specifically point **C**) across the **y-axis**, followed by a reflection across the **x-axis**.

1. **Original coordinates of point C**: From the graph, point **C** is located at \((2, 0)\).

### Step 1: Reflect across the **y-axis**
- When reflecting across the **y-axis**, we negate the x-coordinate while keeping the y-coordinate unchanged.
  - Reflection of \((2, 0)\) across the y-axis:  
    \((-2, 0)\)

### Step 2: Reflect across the **x-axis**
- After reflecting across the **y-axis**, we now reflect across the **x-axis**, which negates the y-coordinate while keeping the x-coordinate unchanged.
  - Reflection of \((-2, 0)\) across the x-axis:  
    \((-2, 0)\)

Thus, the coordinates of the image of point **C** after both transformations are \((-2, 0)\).

Would you like more details on these transformations? 

Here are 5 related questions to consider:
1. What happens to points located on the axes during reflections?
2. How would the reflection process differ if point C had been located in a different quadrant?
3. Can you generalize how coordinates change when reflecting across both the x- and y-axes?
4. What is the result if we reflect the triangle first across the x-axis, then across the y-axis?
5. What other transformations could you apply to change the position of point C?

**Tip:** Visualizing transformations on a graph can help solidify your understanding of how reflections work.

The triangle is reflected across the y-axis, and then reflected across the x-axis. What are the coordinates of the image of point C after the transformations?

Explore how to reflect a triangle across the y-axis and x-axis. Understand the step-by-step process of finding the image of point C after the reflections, using key coordinate geometry concepts. Ideal for students in Grades 6-8.

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