Understanding Amplitude in Trigonometric Functions

The video tutorial covers graphing trigonometric functions with changes in amplitude. It starts with an introduction to the concept, followed by detailed instructions on graphing sine, cosine, tangent, and cosecant functions. Each function is explored with specific amplitude changes, including negative amplitudes and reflections. The tutorial emphasizes understanding parent functions and how amplitude affects the graph's vertical stretch or shrink.

What is the primary focus of the video tutorial?

• Graphing trig functions with vertical shifts

• Graphing trig functions with frequency changes

• Graphing trig functions with amplitude changes

• Graphing trig functions with phase shifts

How does the graph of a sine function change when the amplitude is increased to 2?

• It shifts upwards

• It stretches vertically

• It stretches horizontally

• It shifts downwards

What happens to the cosine graph when the amplitude is negative?

• It shifts to the right

• It reflects over the y-axis

• It reflects over the x-axis

• It remains unchanged

When graphing a cosine function with an amplitude of -3, where does the graph start?

• At zero

• At positive 1

• At negative 3

• At positive 3

What is the effect of a reduced amplitude on the tangent function?

• It increases the height of the graph

• It reduces the height of the graph

• It decreases the period

• It increases the period

Where is the asymptote located in the tangent function graph from zero to pi?

• At pi/4

• At pi/2

• At 3pi/4

• At pi

How does a negative amplitude affect the initial direction of the sine graph?

• It starts by going upwards

• It starts by going downwards

• It remains flat

• It starts at the maximum

What is the relationship between the sine and cosecant functions in terms of graphing?

• Cosecant is the inverse of sine

• Cosecant is the reciprocal of sine

• Cosecant is the derivative of sine

• Cosecant is the integral of sine

What happens to the cosecant graph when the sine function has a negative amplitude?

• It reflects over the x-axis

• It shifts to the right

• It shifts to the left

• It remains unchanged

What is the effect of an amplitude less than one on a trigonometric function?

• It shifts the graph downwards

• It stretches the graph

• It compresses the graph

• It shifts the graph upwards