Reflecting graphs across the X-axis and Y-axis can help us see different patterns. However, it can be confusing for 8th graders. Let's break it down.

1. Reflection Across the X-Axis:

• When we reflect a graph across the X-axis, we switch the signs of the $y$ values.
• For example, if we have a point like $(x, y)$, it will become $(x, -y)$.
• This idea can be hard to picture, especially with tricky functions. It might lead to mistakes when trying to understand the graph better.

2. Reflection Across the Y-Axis:

• Reflecting a graph across the Y-axis means we change the signs of the $x$ values.
• So, the point $(x, y)$ would turn into $(-x, y)$.
• Many students find it tough to get this transformation right, especially when they have to do it along with other changes.

To help with these challenges, it's important to practice with clear examples. Using visual tools and software can make it easier for students to see these transformations and help them learn better. Getting regular feedback and asking specific questions can also strengthen their understanding of these important graphing ideas.