How Do You Graph the Tangent Function Multiplied by a Number

The video tutorial explains how to graph the tangent function by identifying key properties such as amplitude, period, X scale, vertical transformation, and phase shift. It demonstrates the process of plotting the tangent graph, highlighting important points like X intercepts and asymptotes. The tutorial also explores how scaling, particularly using π/4, affects the appearance of the graph, making it wider or narrower.

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

• 2π

• π

• π/4

• π/2

Which of the following is NOT a component to consider when graphing a tangent function?

• Horizontal Reflection

• Vertical Transformation

• Period

• Amplitude

How far apart are the important points on the tangent graph when the X scale is π/2?

• π/4

• 2π

• π/2

• π

What is the significance of an asymptote in the tangent graph?

• It is where the graph crosses the X-axis.

• It is a point where the graph is undefined.

• It is the minimum point of the graph.

• It is the maximum point of the graph.

What happens to the tangent graph when the X scale is divided into π/4?

• The graph shifts upwards.

• The graph remains unchanged.

• The graph becomes wider.

• The graph becomes narrower.

How does multiplying the tangent of π/4 by 1/4 affect the graph?

• It shifts the graph to the left.

• It shifts the graph to the right.

• It makes the graph wider.

• It makes the graph narrower.

What is the result of applying a factor of 1/4 to the tangent graph?

• The graph is stretched vertically.

• The graph is compressed horizontally.

• The graph is stretched horizontally.

• The graph is compressed vertically.