Graph the Secant Function with an Extension of It's Period and Vertical Shift

The video tutorial explains how to graph trigonometric equations, focusing on the reciprocal function of secant, which is cosine. It covers the steps to graph the cosine function, including understanding amplitude, period, phase shift, and vertical transformation. The tutorial then demonstrates how to apply these transformations to graph the cosine function and subsequently use it to graph the secant function, highlighting the creation of asymptotes and the behavior of the graph at maximum and minimum points.

What is the reciprocal function of secant?

• Cosecant

• Tangent

• Sine

• Cosine

In the standard form of a trigonometric function, what does 'A' represent?

• The vertical shift

• The amplitude

• The phase shift

• The period

How do you calculate the period of a cosine function?

• π / A

• 2π / A

• 2π / B

• π / B

What is the initial period of the cosine function?

• π

• 4π

• 2π

• π/2

What happens to the cosine graph when there is a vertical transformation?

• It shifts up or down

• It shifts left or right

• It stretches or compresses

• It reflects over the X-axis

Where do asymptotes occur in the secant graph?

• At the X-axis intercepts

• At the minimum points

• At the Y-axis intercepts

• At the maximum points

What is the behavior of the secant graph at its maximum and minimum points?

• It approaches the X-axis

• It approaches the asymptotes

• It remains constant

• It intersects the Y-axis