Learning How to Graph and Find the Change in Period of Tangent

The video tutorial covers the graphing of tangent functions, starting with the parent graph y = tan(x) and its properties, such as asymptotes and period. It then explores transformations using the function y = a * tan(bx - c) + d, focusing on changes in period and scale. The tutorial explains how to calculate the new period and scale, adjust the graph, and identify new asymptotes. Finally, it discusses the domain and range of the transformed graph, emphasizing the impact of transformations on these properties.

What is the period of the parent tangent graph?

• 3π/2

• π/2

• 2π

• π

In the transformation function y = a * tan(Bx - C) + D, which component affects the period of the graph?

• D

• C

• B

• a

How does the period of the tangent graph change when B = 2?

• It doubles

• It halves

• It remains the same

• It triples

What is the new X scale when the period is π/2?

• π/4

• π/2

• π/8

• π/16

What is the range of the tangent graph?

• 0 to π

• Negative Infinity to Infinity

• Negative π to π

• 0 to 2π

How do you determine the domain of the tangent graph?

• By identifying the intercepts

• By identifying the asymptotes

• By identifying the maximum points

• By identifying the minimum points

What is the first asymptote of the transformed tangent graph?

• π

• 3π/4

• π/4

• π/2