Graphing the Secant Graph with Change in Period

The video tutorial explains how to graph the function Y = -2 sec(πX/2) by first graphing its inverse function, cosine. It covers calculating amplitude and period, graphing the cosine function, and then transforming it into the secant graph by identifying asymptotes and reciprocal points. The tutorial concludes with finalizing the secant graph by erasing the cosine graph used as a guide.

What is the inverse function used to graph Y = -2 sec(πx/2)?

• Cosecant

• Cosine

• Tangent

• Sine

What is the amplitude of the cosine function in this problem?

• 1

• 2

• 3

• 4

How is the starting point of the cosine graph determined?

• By setting πx/2 = 3π

• By setting πx/2 = 2π

• By setting πx/2 = π

• By setting πx/2 = 0

What happens to the secant graph at points where the cosine graph is zero?

• The secant graph has peaks

• The secant graph is undefined

• The secant graph has troughs

• The secant graph is constant

What is the role of asymptotes in the secant graph?

• They are the points the graph crosses

• They are the maximum points

• They are the points the graph approaches

• They are the minimum points