Graph the secant function with a phase shift

The video tutorial covers the transformation of a secant graph, focusing on rewriting the equation, determining the period and phase shift, and understanding vertical stretch and reflection. It includes sketching the graph to visualize its range and explains the concept of asymptotes and their transformations. The tutorial concludes with a discussion on the domain and simplification of asymptotes.

What is the period of a secant graph when B is factored out and equals 1?

• π

• 2π

• π/2

• 4π

In the context of graph transformations, what does a phase shift of π/2 to the right indicate?

• The graph moves π units to the left

• The graph moves π units to the right

• The graph moves π/2 units to the right

• The graph moves π/2 units to the left

How does a vertical stretch by a factor of 3 affect the graph of a cosine function?

• It compresses the graph vertically

• It reflects the graph over the Y-axis

• It stretches the graph horizontally

• It stretches the graph vertically

What happens to the range of a cosine graph when it is reflected about the X-axis?

• The range is inverted

• The range remains the same

• The range is doubled

• The range becomes negative

When sketching a graph, how does a phase shift affect the starting point?

• It moves the start point up

• It does not affect the start point

• It moves the start point to the right

• It moves the start point to the left

What is the effect of transformations inside the function on the asymptotes of a secant graph?

• They move the asymptotes up

• They remove the asymptotes

• They do not affect the asymptotes

• They move the asymptotes left or right

Why is it important to represent asymptotes with the smallest positive angle?

• It is a standard convention

• It makes the graph more accurate

• It reduces errors

• It simplifies calculations