Learn How to Graph the Cotangent Function with a Phase Shift

The video tutorial covers graphing concepts, focusing on amplitude, period, X scale, phase shift, and vertical translation. It explains how to graph cotangent functions, including transformations and scaling. The teacher guides students through sketching graphs and understanding the effects of different parameters on graph shape.

What is the amplitude of a cotangent graph?

• The distance from the maximum to the minimum

• The half distance from the maximum to the minimum

• It does not have an amplitude

• The distance from the minimum to the maximum

How is the X scale determined for a graph?

• By dividing the period by 2

• By multiplying the period by 2

• By adding the period to the phase shift

• By subtracting the phase shift from the period

What is the purpose of a phase shift in graphing?

• To calculate the graph's period

• To determine the graph's amplitude

• To find the graph's vertical translation

• To decide where to start the graph

What is the effect of a 1/4 factor on a graph?

• It makes the graph narrower

• It makes the graph wider

• It shifts the graph upwards

• It shifts the graph downwards

What is the period of a cotangent graph?

• π

• 3π/2

• 2π

• π/2