Identify the parts of the tangent graph

The video tutorial covers the tangent function, focusing on vertical compression and horizontal stretch. It explains how the period of the tangent function changes with transformations and how to determine the domain and range. The tutorial also discusses the impact of transformations on vertical asymptotes and provides methods to find new asymptotes after transformations.

What effect does a factor of 1/3 have on the tangent graph?

• Vertical stretch

• Vertical compression

• Horizontal stretch

• Horizontal compression

How does multiplying by a fraction inside the tangent function affect the graph?

• It results in a horizontal stretch

• It results in a horizontal compression

• It results in a vertical stretch

• It results in a vertical compression

What is the period of the tangent function?

• π

• 2π

• π/2

• 2π/3

Where do the vertical asymptotes of the tangent function occur initially?

• At every 2π

• At every 3π/2

• At every π

• At every π/2

How do vertical transformations affect the tangent graph?

• They change the vertical asymptotes

• They change the range

• They change the period

• They do not impact the graph

What should you do to find the new asymptotes after a transformation?

• Add π to the original asymptotes

• Multiply the inside of the function by 2

• Set the inside of the function equal to the asymptote equation

• Subtract π from the original asymptotes

What is the domain of the transformed tangent function?

• All real numbers except where X equals π + 2πn

• All real numbers except where X equals 2π + πn

• All real numbers except where X equals π/2 + πn

• All real numbers except where X equals 3π/2 + πn