How to Graph the Cotangent Function with a Vertical Shift

This video covers the basics of graphing functions, including transformations and shifts.

What is the effect of the constant 2 in the function F(x) = 2 + cotangent(x)?

• It changes the period of the graph.

• It shifts the graph 2 units up.

• It shifts the graph 2 units to the right.

• It reflects the graph over the x-axis.

What is the period of the parent cotangent function?

• π/2

• 2π

• 3π/2

• π

Which feature of the cotangent graph is represented by the first x-scale?

• X-intercept

• Maximum point

• Minimum point

• Asymptote

How does the graph of F(x) = 2 + cotangent(x) differ from the parent graph?

• It has a different period.

• It is shifted 2 units up.

• It has a different x-scale.

• It is shifted 2 units down.

What is a recommended method for accurately plotting the transformed cotangent graph?

• Ignoring the vertical shift.

• Changing the period to 2π.

• Using a table function to find exact values.

• Guessing the curve shapes.