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.