Given a Phase Shift and Change in Period | How to Graph Tangent Function

The video tutorial explains how to graph the function Y = tan(2X - π/2). It covers the importance of understanding the parent function and transformations, including period, X scale, phase shift, and vertical transformations. The instructor emphasizes the need to follow a systematic process rather than making assumptions. The tutorial provides detailed steps for calculating the period and X scale, determining the phase shift, and understanding the placement of asymptotes. The video concludes with a summary of key points and encourages students to apply the learned concepts.

What is the initial step in graphing the function Y = tan(2X - π/2)?

• Understand the parent function and transformations

• Determine the reflection

• Identify the vertical transformations

• Calculate the amplitude

How is the period of the tangent function Y = tan(2X - π/2) calculated?

• π / B

• 2π / 2B

• 2π / B

• π / 2B

What is the X scale for the function Y = tan(2X - π/2)?

• π / 4

• π

• π / 2

• 2π

What is the phase shift for the function Y = tan(2X - π/2)?

• 0

• π / 4

• π / 2

• -π / 4

How does the phase shift affect the starting point of the tangent graph?

• It shifts the graph up

• It shifts the graph down

• It shifts the starting point to π / 4

• It shifts the starting point to π / 2