Sinusoidal Functions and Their Properties

The video tutorial explains how to find the equation of a sinusoidal function using sine or cosine. It covers identifying key components like amplitude, vertical shift, phase shift, and period. The tutorial includes examples of modeling functions and applying them to real-world scenarios.

What is the primary goal when finding the equation of a sinusoidal function?

• To determine the graph's color

• To find the equation using sine or cosine

• To calculate the graph's area

• To identify the graph's symmetry

Which component of a sinusoidal function affects its vertical position?

• Period

• Amplitude

• Phase shift

• Vertical shift

What does the amplitude of a sinusoidal function represent?

• The total height of the graph

• The horizontal shift

• The distance from the midline to a peak

• The vertical stretch or compression

In the first example, what is the phase shift of the sinusoidal function?

• 60 degrees to the right

• 60 degrees to the left

• 30 degrees to the right

• 30 degrees to the left

How is the period of a sinusoidal function determined?

• By the phase shift

• By the amplitude

• By the vertical shift

• By the B value in the equation

In the real-world scenario example, what is the significance of the negative value for the girl's position?

• It indicates she is over water

• It indicates she is over land

• It indicates she is at the origin

• It indicates she is at the maximum height