Sin/Cos & amplititude

Front

What is the amplitude of a sine or cosine function?

Back

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

Front

How do you determine the amplitude from the function y = a sin(bx) or y = a cos(bx)?

Back

The amplitude is the absolute value of 'a'. For example, in y = 3 sin(7x), the amplitude is |3| = 3.

Front

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

Back

The amplitude is 2, as amplitude is always a positive value.

Front

If the function is y = 5 cos(3x), what is the amplitude?

Back

The amplitude is 5.

Front

What does the amplitude represent in a sine or cosine graph?

Back

The amplitude represents half the distance between the maximum and minimum values of the function.

Front

What is the amplitude of the function y = 4Cos(2x)?

Back

The amplitude is 4.

Front

In the function y = -4 cos(5x), what is the amplitude?

Back

The amplitude is 4.

Front

What is the amplitude of the function y = 3 sin(7x)?

Back

The amplitude is 3.

Front

What is the relationship between amplitude and the vertical stretch of a sine or cosine function?

Back

A larger amplitude indicates a greater vertical stretch of the graph.

Front

If a sine function has an amplitude of 1, what does this imply about its graph?

Back

The graph oscillates between 1 and -1.