Master Graphing Tangent and cotangent with a phase shift

The video tutorial explains how to graph tangent and cotangent functions, focusing on phase shifts. It covers identifying periods, calculating X scales, and determining start points. The tutorial provides examples of graphing tangent and cotangent functions, highlighting critical points like intercepts and asymptotes. It emphasizes the effects of parameters on graph shape, including vertical stretching and reflection. The tutorial concludes with a summary of key points in graphing these trigonometric functions.

What does a phase shift in a graph indicate?

• A change in amplitude

• A shift to the left or right

• A reflection over the X-axis

• A change in frequency

What is the period of the tangent function when B is 1?

• π

• 2π

• π/2

• 2π/3

How do you calculate the X scale for the tangent function?

• Period divided by 5

• Period divided by 3

• Period divided by 2

• Period divided by 4

What is the starting point for graphing a tangent function with a phase shift?

• X = π/2

• X = -π

• X = π

• X = 0

What is the significance of the intercept in a tangent graph?

• It is the highest point on the graph

• It is where the graph crosses the X-axis

• It is where the graph crosses the Y-axis

• It is the lowest point on the graph

How does a negative sign in front of the cotangent function affect the graph?

• It shifts the graph upwards

• It shifts the graph downwards

• It reflects the graph over the X-axis

• It reflects the graph over the Y-axis

What happens to the cotangent graph when the absolute value of A is greater than 1?

• The graph is reflected over the Y-axis

• The graph is compressed vertically

• The graph is stretched vertically

• The graph is shifted horizontally

What is the starting point for graphing a cotangent function with a phase shift?

• X = π

• X = π/4

• X = -π/4

• X = 0

How do you determine the height of points on the tangent graph?

• By using the X-axis

• By plugging in points into the function

• By using the Y-axis

• By calculating the amplitude

What should you always do to ensure the accuracy of your graph?

• Check your points with a calculator

• Use a ruler for straight lines

• Estimate the values

• Draw the graph freehand