Understanding Sine Function Properties

The video tutorial explains how to find the period and amplitude of a function. It starts with an introduction to the concepts, followed by a detailed explanation of amplitude, which is the absolute value of the coefficient 'a' in the function. The tutorial then covers the period, calculated as 2 Pi divided by 'B', where 'B' is the coefficient in front of 'X'. The video concludes by emphasizing the importance of understanding these concepts for graphing functions.

What are the two main tasks discussed in the video?

• Graphing linear functions

• Solving quadratic equations

• Calculating the derivative and integral

• Finding the period and amplitude

How is amplitude defined in the context of the video?

• The square of 'a'

• The reciprocal of 'a'

• The absolute value of 'a'

• The negative of 'a'

In the general form of the function, what does 'a' represent?

• The coefficient in front of sine

• The exponent of x

• The constant term

• The coefficient of x

What is the general form of the function discussed?

• a * tan(BX) + C

• a * BX + C

• a * sin(BX - C) + D

• a * cos(BX + C) - D

What is the significance of the coefficient 'a' in the function?

• It determines the period

• It determines the vertical shift

• It determines the amplitude

• It determines the phase shift

What is the amplitude if 'a' is -3?

• 3

• -3

• 0

• 6

What is the effect of a negative 'a' on amplitude?

• Amplitude becomes negative

• Amplitude is zero

• Amplitude is the absolute value of 'a'

• Amplitude doubles

If the amplitude is 5, what is the value of 'a'?

• 10

• 5

• -5

• 0

What is the formula for calculating the period?

• B * 2π

• 2π + B

• B / 2π

• 2π / B

Which part of the function does 'B' affect?

• Vertical shift

• Amplitude

• Period

• Phase shift