Learn How to Graph the Cosecant Function with a Phase Shift

The video tutorial explains how to graph the function F(x) = 3 cosecant(x + π/2) by first graphing the related sine function. It covers the transformations needed for the sine graph, including amplitude, period, and phase shift. The tutorial then demonstrates how to use the sine graph to plot the cosecant function, highlighting the placement of asymptotes and the behavior of the graph at maximum and minimum points.

What is the first step in graphing the function F(x) = 3 cosecant(x + π/2)?

• Graph the secant function

• Graph the tangent function

• Graph the sine function

• Graph the cosine function

Which parameter affects the amplitude of the sine function?

• B

• C

• A

• D

How is the period of the sine function calculated?

• 2π / A

• π / B

• 2π / B

• π / A

What is the phase shift of the function 3 sine(x + π/2)?

• π to the right

• π to the left

• π/2 to the left

• π/2 to the right

What is the amplitude of the parent sine function?

• 0

• 1

• 2

• 3

How do you determine the asymptotes for the cosecant function?

• At the x-intercepts of the sine graph

• At the y-intercepts of the sine graph

• At the minimum points of the sine graph

• At the maximum points of the sine graph

What shape is formed at the maximum and minimum points of the cosecant graph?

• Ellipse

• Circle

• Line

• Parabola