Graphing the Secant Function with a Vertical Shift

The video tutorial explains how to graph secant functions by first graphing the cosine function as a reference. It covers finding amplitude and period, plotting key points, and applying vertical shifts. The tutorial also discusses the concept of asymptotes in secant graphs, emphasizing the importance of understanding reciprocal functions. The instructor provides step-by-step guidance and encourages practice to master the graphing process.

What is the reciprocal of the secant function?

• Sine

• Tangent

• Cosine

• Cosecant

How do you calculate the period of a cosine graph?

• 2π/B

• B/2π

• π/B

• 2π/A

What is the effect of a vertical shift on a cosine graph?

• It shifts the graph left or right

• It changes the amplitude

• It shifts the graph up or down

• It changes the period

What happens to the cosine graph when it is shifted down by 1 unit?

• The amplitude increases by 1

• The graph moves up by 1 unit

• The graph moves down by 1 unit

• The period doubles

What do points where the cosine graph equals zero represent in the secant graph?

• Minimum points

• Intercepts

• Maximum points

• Asymptotes

Why are asymptotes important in the secant graph?

• They are the points of inflection

• They represent the maximum values

• They show where the graph is undefined

• They indicate where the graph crosses the x-axis

How are reflection points used in graphing the secant function?

• They are used to form the parabolas of the secant graph

• They help in plotting the maximum points

• They indicate the period of the graph

• They determine the amplitude