4e Example 4 (Write the trig function given the transformations)

The video tutorial covers writing equations for trigonometric functions, focusing on sine, cosine, and tangent. It explains how to determine the amplitude, period, phase shift, and vertical shift for each function. The sine function is analyzed with an amplitude of 4, a period of 4π, and a vertical shift up by 1. The cosine function is explored with a phase shift of π to the right and a reflection about the x-axis. The tangent function is discussed with a period of π/2, a reflection about the y-axis, and a vertical shift down by 2. The tutorial emphasizes understanding transformations and checking work for accuracy.

Describe the transformation applied to the cosine function in the example.

How does the reflection about the X-axis affect the cosine function?

What is the significance of the phase shift in the tangent function as described?