How to Graph Tangent with a Period Change

The video tutorial covers the process of graphing tangent functions, emphasizing the importance of understanding key concepts like amplitude, period, X scale, and vertical transformation. The instructor explains that tangent and cotangent functions have no amplitude restrictions and a period of π. The X scale is discussed in detail, including how it affects the graph's appearance. The tutorial concludes with a step-by-step guide to graphing the tangent function, highlighting the impact of different values on the graph's shape.

Why is it important to repeatedly practice finding key information when graphing trigonometric functions?

• To memorize the steps

• To avoid using a calculator

• To ensure accuracy during tests

• To make the process faster

What is unique about the amplitude of tangent and cotangent functions?

• It is always zero

• It is restricted to a maximum value

• It is always positive

• There are no restrictions on its height

How is the period of the tangent function determined?

• By multiplying π by B

• By adding π to B

• By subtracting B from π

• By dividing π by B

What is the X scale for the tangent function in this context?

• 1/2

• 1

• 1/4

• 2

What is the phase shift for the tangent function in this example?

• 1/2

• π

• 0

• 1

How does a value greater than one affect the graph of a tangent function?

• It makes the graph wider

• It makes the graph skinnier

• It shifts the graph upwards

• It shifts the graph downwards

What happens to the graph if the absolute value is less than one?

• The graph shifts to the right

• The graph shifts to the left

• The graph becomes skinnier

• The graph becomes wider