Reflections of Graphs: Understanding How and Why Graphs Get Reflected in the X or Y Axis

The video tutorial explains how graphs can be reflected across the X and Y axes. It introduces the concept of a mirror line and discusses how functions, specifically F of X, can be manipulated to achieve these reflections. The tutorial covers the effects of applying minus F of X, which reflects the graph in the X axis by switching output signs, and F of minus X, which reflects the graph in the Y axis by reversing input values. The video emphasizes understanding these transformations for assessments.

What are the outputs when substituting the values -2, -1, 0, 1, and 2 into the function F(X) = X^2 - 2?

How do the signs of the output values change when reflecting a graph in the X axis?

Explain the effect of replacing X with -X in the function F(X).

What is the relationship between the original function F(X) and the reflected function -F(X)?