Graphing Cotangent with a Change in Period

The video tutorial covers graphing techniques for cotangent functions, emphasizing the importance of understanding amplitude, period, X scale, and critical points. It explains how to determine the start and end of graphs and highlights the role of asymptotes in cotangent graphs. The tutorial also compares these concepts with sine and cosine functions, providing a comprehensive guide to graphing cotangent.

What is the main focus when transforming from sine and cosine to cotangent and tangent?

• Finding the amplitude

• Understanding the transformations

• Calculating the frequency

• Identifying the phase shift

How is the period of a cotangent graph different from that of sine and cosine?

• It is the same

• It is half as long

• It is π instead of 2π

• It is twice as long

What is the formula for determining the X scale in cotangent graphs?

• Period divided by 2

• Period multiplied by 2

• Period divided by 4

• Period multiplied by 4

What role do asymptotes play in cotangent graphs?

• They are irrelevant to the graph

• They indicate the maximum and minimum points

• They mark the start and end of a period

• They determine the amplitude

Why are asymptotes present at certain points in cotangent graphs?

• They are where the graph reaches its minimum

• They are where the function is undefined

• They are where the graph reaches its maximum

• They are where the graph crosses the X-axis

What happens to the cotangent graph at the asymptotes?

• It reaches a peak

• It becomes undefined

• It crosses the Y-axis

• It flattens out

How does the parent graph of cotangent behave?

• Oscillates up and down

• Rises right and falls left

• Rises left and falls right

• Remains constant