Graphing the Secant Function with a Horizontal Shift

The video tutorial explains how to graph reciprocal trigonometric functions, focusing on secant as the reciprocal of cosine. It covers the steps to graph the cosine function, including determining amplitude, period, and X scale. The tutorial also discusses vertical translation and how to use the cosine graph to aid in graphing the secant function. Key points include creating vertical asymptotes at X intercepts and finalizing the secant graph by removing the cosine graph used as an aid.

What is the reciprocal of the cosine function?

• Secant

• Tangent

• Sine

• Cosecant

How do you determine the period of a cosine function?

• 2π / B

• π / A

• 2π / A

• π / B

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

• It changes the period

• It shifts the graph up or down

• It changes the amplitude

• It shifts the graph left or right

What is the X scale used for in graphing trigonometric functions?

• Identifying critical points

• Calculating the vertical shift

• Finding the period

• Determining the amplitude

Where do vertical asymptotes occur in the secant function graph?

• At the maximum points

• At the minimum points

• At the Y intercepts

• At the X intercepts

How does the secant graph relate to the cosine graph?

• It is the inverse of the cosine graph

• It is unrelated to the cosine graph

• It shares the same maximum and minimum points

• It mirrors the cosine graph

What happens to the secant graph at the X intercepts of the cosine graph?

• It reaches a minimum

• It reaches a maximum

• It forms a vertical asymptote

• It crosses the X axis