Identify the asymptotes and transformations for cotangent

The video tutorial covers the reflection of graphs about the Y and X axes and its non-effect on asymptotes. It explains the concept of compression, particularly when the factor is less than one, and discusses the properties of the cotangent function. The tutorial also details how to shift asymptotes, specifically moving them π/2 to the left, and calculates the new positions of these asymptotes, maintaining the distance of π between them.

What happens to a graph when it is reflected over the X-axis?

• It flips vertically.

• It flips horizontally.

• It shifts to the right.

• It shifts to the left.

What does a compression factor of less than one indicate?

• The graph is unchanged.

• The graph is reflected.

• The graph is stretched.

• The graph is compressed.

How does shifting the cotangent function by π/2 to the left affect the first asymptote?

• It doubles the distance between asymptotes.

• It does not affect the first asymptote.

• It moves the first asymptote to the left.

• It moves the first asymptote to the right.

What remains unchanged when the cotangent function is shifted?

• The position of the first asymptote.

• The compression factor.

• The distance between asymptotes.

• The reflection over the Y-axis.

What is the formula for the asymptotes in terms of X?

• X = nπ

• X = -π/2 + nπ

• X = π + nπ

• X = π/2 + nπ