Finding the Period and Amplitude of a Graph

The video tutorial explains how to find the period and amplitude of a function. It begins by defining amplitude as the absolute value of the coefficient 'a' in the function's general form. The teacher demonstrates this with an example, showing that the amplitude is 3. The concept of absolute value is emphasized, especially when dealing with negative numbers. The tutorial then shifts to the period, defined as 2π divided by the coefficient 'B'. An example is provided where B is 2, resulting in a period of π. The importance of understanding these concepts for graphing is highlighted.

What is the amplitude of a function if the coefficient 'a' is -5?

• 0

• -5

• 10

• 5

In the function y = 3sin(2x), what is the amplitude?

• 3

• 2

• 1

• 6

If the coefficient 'a' is negative, how does it affect the amplitude?

• It becomes zero

• It doubles

• It remains the same

• It becomes negative

How do you calculate the period of a function given the coefficient 'B'?

• 2π multiplied by B

• 2π divided by B

• B divided by 2π

• B multiplied by 2π

In the function y = sin(2x), what is the period?

• π

• 2π

• 4π

• π/2