Graphing the Tangent Function with a New Period

The video tutorial explains how to graph tangent functions by focusing on finding the period and endpoints. It covers the calculation of new asymptotes and demonstrates how to graph the function with these new parameters. The tutorial also emphasizes verifying calculations and finding additional periods to extend the graph. The importance of understanding the parent function and its transformations is highlighted, with a promise to discuss finding specific points in future lessons.

What is the main focus when analyzing tangent and cotangent graphs?

• Finding the amplitude

• Determining the period and endpoints

• Calculating the slope

• Identifying the y-intercept

How is the period of a tangent graph determined?

• π/2B

• 2π/B

• π/B

• B/π

What are the original endpoints for one period of a tangent graph?

• 0 and 2π

• -π and π

• -π/2 and π/2

• π/4 and 3π/4

How do you find the new asymptotes for a tangent graph?

• Divide the original endpoints by B

• Multiply the original endpoints by B

• Add B to the original endpoints

• Subtract B from the original endpoints

What is the distance between the new endpoints of the tangent graph?

• π/2

• π/6

• π/3

• 2π/3

How can you find additional periods on a tangent graph?

• Subtract the period from the endpoints

• Multiply the period by the endpoints

• Divide the period by the endpoints

• Add the period to the endpoints

What is the starting point of the parent tangent graph?

• (π, 0)

• (0, π)

• (0, 0)

• (π/2, π/2)