Phase shifts can make trigonometric graphs look more complicated.

1. Displacement: When we shift a basic wave function left or right, it changes where the wave starts and ends. This can make it harder to spot important features like the height (amplitude) and the length of one complete wave (period).

2. Visual Confusion: Students might find it tough to see familiar shapes in the graph. The graph might not look like what they expect.

Solution Strategies:

• Practice: Graphing different functions with phase shifts often will help you get used to them.
• Use Technology: Tools like graphing calculators or software can help you see the changes more clearly.

Understanding these shifts takes time and practice.