Learn How to Graph Cosine with a Vertical Translation

The video tutorial explains how to graph the function y = 1 + cos(x). It covers key concepts such as amplitude, period, critical points, and vertical shifts. The tutorial guides viewers through the process of graphing one period of the cosine function, including determining the X scale and applying transformations.

What is the amplitude of the function y = 1 + cos(x)?

• 1

• 0

• 2

• π

How do you calculate the period of the function y = 1 + cos(x)?

• π divided by B

• 2π divided by B

• 2π divided by A

• π divided by A

What is the distance between critical points in the cosine graph?

• π

• π/2

• π/4

• 2π

Where does the graph of the cosine function start and end for one period?

• π/2 to 3π/2

• 0 to 2π

• π to 2π

• 0 to π

What transformation occurs when D is positive in the function y = 1 + cos(x)?

• Shift right

• Shift left

• Shift down

• Shift up

How does the graph of y = 1 + cos(x) differ from the parent cosine graph?

• It is compressed horizontally

• It is stretched vertically

• It is shifted up by one unit

• It is shifted down by one unit

What is the significance of the critical points in graphing the cosine function?

• They determine the amplitude

• They indicate the period

• They help in scaling the x-axis

• They show the vertical shift