How to determine the change in asymptotes of the cosecant

The video tutorial covers the graph of the cosecant function, focusing on identifying and understanding transformations such as horizontal compression and phase shifts. It explains how these transformations affect the graph's period and asymptotes. The tutorial also demonstrates how to graph the transformed cosecant function and solve for asymptotes, emphasizing the importance of understanding these changes for quizzes and exams.

What is the effect of transformations outside the cosecant function on its asymptotes?

• They double the number of asymptotes.

• They remove the asymptotes.

• They do not affect the asymptotes.

• They change the location of asymptotes.

What is the phase shift when a horizontal shift of π/4 to the right is applied?

• π/2

• No shift

• π/4

• 2π

How does the period of the cosecant graph change after factoring out a four?

• It remains the same.

• It doubles.

• It is halved.

• It becomes π/4.

Where does an asymptote occur after the graph is compressed and shifted?

• At 3π/4

• At 2π

• At π/4

• At π/2

What is the simplified asymptote equation after considering the transformations?

• X = 3π/4

• X = π/4

• X = 2π

• X = π/2