Translations and Reflections of Graphs

The video tutorial covers the concepts of graph translations and reflections. It explains how translations involve shifting a graph horizontally or vertically by altering the function's equation. Vertical shifts affect the Y coordinate, while horizontal shifts affect the X coordinate, often in the opposite direction of intuition. The tutorial also discusses reflections, which involve flipping the graph over the X or Y axis by modifying the function's equation. These transformations are crucial for understanding how graphs behave under different mathematical operations.

What is the effect of adding a value outside the brackets to a function F of X?

How does the translation of a graph occur when a value is added inside the brackets?

Describe how the graph shifts when you have F of X - 3 + 5.

Explain the concept of reflection in the context of graph transformations.

What happens to the graph when you apply minus F of X?