Sinusoidal Functions and Ferris Wheel

The video tutorial covers sinusoidal functions, focusing on their properties such as period, amplitude, and axis. It explains how to graph these functions and apply transformations. The tutorial also includes a practical example of modeling a Ferris wheel using sinusoidal functions, demonstrating how to calculate height at specific angles.

What is the period of the sinusoidal function described in the problem?

• 180°

• 360°

• 540°

• 720°

What is the amplitude of the sinusoidal function?

• 1

• 2

• 4

• 3

What is the equation of the axis for the sinusoidal function?

• y = -1

• y = 0

• y = 2

• y = 1

How many degrees does one cycle of the sinusoidal function cover?

• 90°

• 180°

• 270°

• 360°

What is the total degree coverage for three cycles of the sinusoidal function?

• 1800°

• 1440°

• 720°

• 1080°

How is the peak of the sinusoidal function calculated?

• Twice the amplitude

• Equation of the axis minus amplitude

• Amplitude plus equation of the axis

• Amplitude minus equation of the axis

What is the lowest point (trough) of the sinusoidal function?

• -4

• -3

• -2

• -1

What is the highest point (peak) of the sinusoidal function?

• 1

• 2

• 3

• 4

How many major points are there in one cycle of the sinusoidal function?

• 4

• 6

• 5

• 3

What is the transformed equation of the sinusoidal function?

• 2 sin(x) - 1

• 2 sin(x) + 1

• 3 sin(x) - 1

• 3 sin(x) + 1