Graphing the Tangent Functions with a Phase Shift

The video tutorial covers graphing the tangent function, focusing on key elements like amplitude, period, Xscale, phase shift, and vertical translation. The instructor explains the importance of these components in graphing, emphasizing the process of starting at the phase shift and understanding the graph's behavior. The tutorial also explores variations in Xscale and their impact on the graph, providing a comprehensive guide to graphing tangent functions.

What is the function being discussed in the video?

• F of X = sine of t - π / 4

• F of X = cosine of t - π / 4

• F of X = tangent of t - π / 4

• F of X = cotangent of t - π / 4

Which of the following is true about the amplitude of a tangent function?

• It is always 1

• It does not exist

• It is equal to π

• It is determined by the coefficient of t

How is the period of the tangent function calculated?

• 2π / B

• B / 2π

• π / B

• B / π

What is the phase shift of the function F of X = tangent of t - π / 4?

• -π / 4

• π / 4

• 0

• π / 2

What is the vertical translation for the function discussed?

• It is 0

• It is 1

• It is π

• It is -π / 4

Why is it important to understand the X scale when graphing tangent functions?

• It helps identify X intercepts and asymptotes

• It affects the vertical translation

• It changes the period

• It determines the amplitude

What happens to the graph of the tangent function after one period?

• It stops

• It shifts vertically

• It reflects

• It repeats itself