Learn How to Find the Amplitude, Period, Phase Shift and Vertical Translation of Cosine

The video tutorial covers the concepts of amplitude, period, phase shift, and vertical translation in cosine functions. It explains how to calculate amplitude as the absolute value of 'a', determine the period using 2π divided by the absolute value of 'B', and understand phase shifts by setting the function inside equal to zero. The tutorial also discusses vertical translation, indicating shifts up or down based on the 'D' value.

What is the amplitude of the function 3cos(x)?

• 4

• 3

• 2

• 1

How do you calculate the period of a cosine function?

• π divided by the absolute value of b

• 2π divided by the absolute value of b

• π times the absolute value of b

• 2π times the absolute value of b

If a cosine function has a phase shift of X + 3, in which direction is the graph shifted?

• Right 3 units

• Left 3 units

• Up 3 units

• Down 3 units

What does a positive 'c' value indicate in the phase shift of a cosine function?

• Shift to the left

• Shift downwards

• Shift to the right

• Shift upwards

What effect does a negative 'd' value have on the vertical translation of a cosine function?

• Shifts the graph left

• Shifts the graph down

• Shifts the graph right

• Shifts the graph up