Eqns to Graphs of Sine and Cosine

Front

What is the amplitude of a cosine function?

Back

The amplitude refers to how high and low the function varies from the center line.

Front

What does the phase shift in a sine or cosine function indicate?

Back

The phase shift indicates how much the graph is shifted horizontally from its original position.

Front

What is the period of a sine or cosine function?

Back

The period is the length of one complete cycle of the function.

Front

Back

The amplitude is the absolute value of A.

Front

Back

The '+4' represents a vertical shift of the graph upwards by 4 units.

Front

Back

Front

Back

The amplitude is 5, as amplitude is always a positive value.

Front

Back

A negative value of A indicates that the graph is reflected over the horizontal axis.

Front

Back

Front

What is the relationship between the amplitude and the vertical shift in a sine or cosine function?

Back

The amplitude determines the height of the peaks and the depth of the troughs, while the vertical shift moves the entire graph up or down.