How to Determine the Period and Amplitude of a Trigonometric Graph

The video tutorial explains how to determine the amplitude and period of a trigonometric function, specifically y = 1/4 sine of 2π X. It covers the standard form of trigonometric functions and how to calculate amplitude as the absolute value of 'a'. The period is determined by dividing the natural period by the coefficient of X. The tutorial emphasizes understanding these concepts to easily graph the function.

What is the primary purpose of determining the amplitude and period of a trigonometric function?

• To find the roots of the function

• To determine the function's domain

• To graph the function easily

• To solve algebraic equations

In the standard form of a trigonometric function, what does the amplitude represent?

• The frequency of the function

• The phase shift of the function

• The vertical shift of the function

• The distance between the maximum and minimum values

How is the amplitude of the function y = 1/4 sine of 2π X determined?

• By doubling the coefficient

• By finding the absolute value of the coefficient

• By taking the square of the coefficient

• By halving the coefficient

What affects the period of a trigonometric function?

• The constant term in the function

• The coefficient of the sine function

• The phase shift of the function

• The coefficient of the variable X

For the function y = 1/4 sine of 2π X, what is the period?

• 2π

• 2

• 1

• 1/4