Graphing the Tangent Function with a Phase Shift

The video tutorial explains how to graph a tangent function with a phase shift. It covers finding the period, determining the X scale, understanding the phase shift, solving for new start and end points, and graphing the function. The tutorial also discusses identifying asymptotes and intercepts, and concludes with a summary of the graphing process.

What is the period of a tangent function when the coefficient of X is 1?

• 2π

• π

• π/2

• π/4

How do you calculate the X scale for critical points in a tangent graph?

• Add π to the period

• Divide the period by two

• Multiply the period by two

• Subtract π from the period

What is the new starting point of the tangent graph after applying a phase shift of π?

• 0

• -3π/2

• π/2

• -π/2

In a transformed tangent graph, what is the significance of the middle critical point?

• It is the X-intercept

• It is an asymptote

• It is the Y-intercept

• It is the maximum point

How does the graph of a tangent function behave as it approaches an asymptote?

• It remains constant

• It falls to the left and rises to the right

• It oscillates between two points

• It rises to the left and falls to the right