How to Find the Amplitude Period and Phase Shift of Sine

The video tutorial covers the concepts of amplitude, period, phase shift, and vertical translation in trigonometric functions. It explains how to calculate each of these properties, emphasizing the importance of understanding their roles in graphing sine and cosine functions. The tutorial provides step-by-step instructions for determining the amplitude, period, phase shift, and vertical translation, using examples to illustrate each concept.

What is the amplitude of a sine or cosine function with a coefficient of -3.5?

• 0

• 3.5

• -3.5

• 7

How do you calculate the period of a trigonometric function?

• π times the absolute value of B

• π divided by the absolute value of B

• 2π divided by the absolute value of B

• 2π times the absolute value of B

If B is 2 in a trigonometric function, what is the period?

• 2π

• π

• π/2

• 4π

What is the phase shift if the equation is 2x - π/2 = 0?

• π/2 to the right

• π/4 to the left

• π/4 to the right

• π/2 to the left

How does a vertical translation of -1 affect a trigonometric function?

• Shifts the graph up by 1 unit

• Shifts the graph right by 1 unit

• Shifts the graph down by 1 unit

• Shifts the graph left by 1 unit