Graph the Tangent Function with a Phase Shift

The video tutorial explains how to graph the function F(x) = tan(x + π/4) by understanding transformations, calculating shifts and scales, and using the parent graph of tangent. It covers the absence of amplitude in tangent functions, determining horizontal and vertical shifts, and the process of graphing with a focus on intercepts and asymptotes. The tutorial concludes with a summary of key points.

What is the main transformation applied to the function f(x) = tan(x + π/4)?

• Vertical stretch

• Horizontal shift

• Reflection

• Vertical shift

How is the period of the tangent function determined in this context?

• π/B

• 2π/B

• π/2B

• B/π

What is the horizontal shift for the function f(x) = tan(x + π/4)?

• π/2 to the right

• π/4 to the right

• π/4 to the left

• No shift

Where does the graph of the tangent function start after applying the horizontal shift?

• At x = π/2

• At x = π/4

• At x = -π/4

• At x = 0

What is the x-scale used for graphing the tangent function?

• π/4

• π/2

• 2π

• π

What is the significance of the x-intercept in the tangent graph?

• It is where the graph starts

• It is where the graph ends

• It is the highest point of the graph

• It is the midpoint of the graph

How do the asymptotes of the tangent function repeat?

• Every π/4 units

• Every π units

• Every 2π units

• Every π/2 units