Graphing the Tangent Functions with a Phase Shift

The video tutorial covers graphing the tangent function, focusing on key elements like amplitude, X scale, phase shift, and vertical translation. It explains the process of graphing, starting from the phase shift and using the X scale to determine important points like intercepts and asymptotes. The tutorial also discusses the appearance of tangent and cotangent graphs and explores variations in the X scale. Finally, it addresses common questions and clarifications.

Which of the following components is not applicable to tangent functions?

• Amplitude

• Period

• Phase Shift

• Vertical Translation

How is the period of a tangent function determined?

• B / π

• 2π / B

• B / 2π

• π / B

What is the X scale used for in graphing tangent functions?

• Determining the amplitude

• Setting the vertical translation

• Identifying the phase shift

• Calculating the distance between important points

How do you find the phase shift for a tangent function?

• By determining the vertical translation

• By setting BX - C equal to zero

• By dividing the period by two

• By calculating the amplitude

What is the starting point for graphing a tangent function?

• Zero

• Amplitude

• Phase shift

• Vertical translation

What are the key points to identify when graphing tangent functions?

• X intercepts and asymptotes

• None of the above

• Amplitude and period

• Phase shift and vertical translation

Why is it important to understand the repeating nature of tangent graphs?

• To determine the amplitude

• To identify the phase shift

• To accurately graph multiple periods

• To set the vertical translation