12.2 Amplitude and Period

Front

What is the parent graph of the cosine function?

Back

y=cos(x)

Front

What measures the distance from the midline to the maximum or minimum of a function?

Back

Amplitude

Front

What is the period of the function y=4cos(5x)?

Back

2π/5

Front

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

Back

2π

Front

In the function y=asin(bx-h)+k, which value represents amplitude?

Back

a

Front

Define amplitude in the context of trigonometric functions.

Back

Amplitude is the maximum distance from the midline of the graph to its peak or trough.

Front

How is the period of a sine or cosine function calculated?

Back

The period is calculated as 2π divided by the coefficient of x in the function.

Front

What is the effect of changing the amplitude in a sine or cosine function?

Back

Changing the amplitude stretches or compresses the graph vertically.

Front

What happens to the graph of y=sin(x) when the amplitude is increased to 3?

Back

The peaks and troughs of the graph will rise to 3 and -3, respectively.

Front

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

Back

π