Learning to Graph Cotangent with a Change in Period

The video tutorial covers the cotangent function, focusing on key concepts like amplitude, period, X scale, and phase shift. It explains the parent graph of cotangent, highlighting its asymptotes and intercepts, and provides a step-by-step guide to graphing cotangent without transformations. The tutorial emphasizes understanding these components and their roles in graphing trigonometric functions.

Which trigonometric functions have an amplitude?

• Tangent and Cotangent

• Sine and Cosine

• All trigonometric functions

• Secant and Cosecant

How is the period of a cotangent function determined?

• B / π

• π / B

• B / 2π

• 2π / B

What is the phase shift of a function if BX - C = 0?

• X = 0

• X = B

• X = B / C

• X = C / B

What is the period of the parent graph of cotangent?

• π

• 2π

• π/2

• 2π/3

Where does the cotangent graph have its intercepts?

• π/4 and 3π/4

• π/2 and 3π/2

• π and 2π

• 0 and π

In which direction does the cotangent graph rise and fall?

• Rises left, falls right

• Falls left, rises right

• Falls right, rises left

• Rises right, falls left

What is the starting point of the cotangent graph when sketching?

• A maximum point

• An intercept

• An asymptote

• The origin