2.2 Trig Functions Amplitude and Period

Front

What is the parent graph of the cosine function?

Back

y=cos(x)

Front

What does the term 'Amplitude' refer to in trigonometric functions?

Back

The distance from the midline to the maximum or minimum of the function.

Front

What is the period of the function y= -3sin(x)?

Back

2π

Front

What does the term 'Amplitude' represent in a sine or cosine graph?

Back

The distance above or below the midline; always taken as an absolute value.

Front

What is the period of the function y= -3sin(x)?

Back

2π

Front

Define 'Period' in the context of trigonometric functions.

Back

The length of one complete cycle of the function.

Front

What is the amplitude of the function y=4cos(x)?

Back

4

Front

How does a negative coefficient affect the sine function?

Back

It reflects the graph across the x-axis.

Front

What is the effect of changing the coefficient of x in y=sin(kx)?

Back

It changes the period of the function; period = 2π/k.

Front

What is the amplitude of the function y=-2sin(x)?

Back

2