Graphing Cotangent with a Reflection

The video tutorial explains how to graph the function Y = -1/4 cotangent(X - π/2). It covers various transformations including reflection over the X-axis, horizontal stretching, and phase shifts. The period of the cotangent function is determined, and critical points such as X-intercepts and asymptotes are identified. The tutorial demonstrates graphing the initial period and adjusting the graph for transformations, resulting in a cotangent graph that resembles a tangent function after reflection.

What transformation occurs when a negative sign is applied to the cotangent function?

• Vertical stretch

• Reflection over the X-axis

• Horizontal shift

• Vertical shift

How is the period of a cotangent function determined?

• By dividing π by the coefficient of X

• By subtracting π from the coefficient of X

• By multiplying π by the coefficient of X

• By adding π to the coefficient of X

What is the distance between critical points in a cotangent function?

• 3π/2

• 2π

• π/2

• π

Where does the initial period of the cotangent graph start and end?

• Starts at 0 and ends at π

• Starts at π and ends at 2π

• Starts at -π and ends at π

• Starts at π/2 and ends at 3π/2

What effect does a horizontal stretch have on the cotangent graph?

• It stretches the graph horizontally

• It reflects the graph over the Y-axis

• It shifts the graph upwards

• It compresses the graph vertically