Learn How to Graph Cotangent Function with a Reflection Over the X Axis

The video tutorial explains how to graph Y = -cotangent(X). It emphasizes understanding trigonometric graphs, particularly the cotangent function, which has a period of π and includes asymptotes. The tutorial compares tangent and cotangent graphs, noting their directional differences. It then demonstrates how to graph the negative cotangent by flipping the cotangent graph, maintaining the same intercepts and asymptotes. The tutorial concludes with a recap of the process.

What is the period of the cotangent function?

• 2π

• π

• π/2

• 3π

How does the cotangent graph differ from the tangent graph in terms of direction?

• Cotangent rises to the right and falls to the left

• Cotangent falls to the right and rises to the left

• Cotangent has no direction

• Cotangent is identical to tangent

What is the main difference in the period between sine/cosine and cotangent functions?

• Sine and cosine have a period of 2π, cotangent has π

• Cotangent has no period

• Sine and cosine have a period of π, cotangent has 2π

• All have the same period

What remains unchanged when graphing the negative cotangent function?

• The period

• The intercepts and asymptotes

• The direction of the curve

• The amplitude

When graphing negative cotangent, what transformation is applied to the cotangent graph?

• It is flipped over

• It is shifted up

• It is stretched

• It is compressed