Tangent Graphs and Amplitude Concepts

The video tutorial covers the concept of amplitude in tangent graphs, explaining how it affects the graph's shape and behavior. It discusses the differences between tangent and sine/cosine graphs, particularly how amplitude influences the stretching of the graph. The tutorial includes examples and demonstrations of graphing tangent functions with varying amplitudes, periods, and phase shifts. It concludes with a summary of key points and instructions for an assignment.

What is the primary difference between the tangent graph and sine or cosine graphs regarding amplitude?

• Tangent graph does not have an amplitude.

• Tangent graph amplitude affects its height.

• Tangent graph amplitude affects its width.

• Tangent graph already extends to infinity, so amplitude does not change its height.

How does the amplitude affect the tangent graph?

• It shifts the graph horizontally.

• It stretches the graph vertically.

• It compresses the graph horizontally.

• It changes the period of the graph.

In the example given, what is the amplitude of the tangent graph?

• 1

• 2

• 3

• 4

What tool can be used to verify the shape of the tangent graph?

• Ruler

• Calculator

• Graph paper

• Desmos

In the complex example, what is the effect of a negative amplitude on the tangent graph?

• It shifts the graph upwards.

• It flips the graph over the x-axis.

• It compresses the graph vertically.

• It stretches the graph horizontally.

What is the new period of the tangent graph in the complex example?

• 360 degrees

• 120 degrees

• 240 degrees

• 180 degrees

How is the period of a tangent graph calculated when given a multiplier?

• By dividing 180 by the multiplier

• By subtracting the multiplier from 180

• By multiplying 180 by the multiplier

• By adding the multiplier to 180

What is the vertical shift in the complex example?

• 1

• 2

• 3

• 0

What should you do if you don't understand the concept of amplitude in tangent graphs?

• Try to memorize the examples

• Ignore it and move on

• Send an email or post a question for help

• Skip the assignment

What is the main purpose of applying amplitude to a tangent graph?

• To stretch or compress the graph vertically

• To adjust the graph's period

• To change the graph's color

• To shift the graph horizontally