How to Determine the Amplitude and Period of a Graph

The video tutorial explains how to determine the amplitude and period of a trigonometric function. It uses the example of y = -3/2 * cos(πx/2) to illustrate the process. The amplitude is found by taking the absolute value of the coefficient of the cosine function, resulting in 3/2. The period is calculated by considering the coefficient of x, which involves dividing 2π by π/2, simplifying to a period of 4. The tutorial emphasizes understanding the impact of each parameter on the graph of the function.

What is the standard form of a trigonometric function used to determine amplitude and period?

• y = a * cos(bx - c) + d

• y = a * cot(bx - c) + d

• y = a * sin(bx - c) + d

• y = a * tan(bx - c) + d

How do you find the amplitude of the function Y = -3/2 * cos(πX/2)?

• By taking the absolute value of 2

• By taking the absolute value of X

• By taking the absolute value of -3/2

• By taking the absolute value of π

What is the amplitude of the function Y = -3/2 * cos(πX/2)?

• 2

• 3

• 1/2

• 3/2

What is the period of the function Y = -3/2 * cos(πX/2)?

• π

• 2π

• 4

• 1

How is the period of a trigonometric function affected by the coefficient of X?

• It doubles the period

• It halves the period

• It determines the length of one cycle

• It has no effect on the period