Sin/Cos graphs - period and midline

Front

What is the period of a sine or cosine function?

Back

Front

What is the midline of a sinusoidal graph?

Back

The midline is the horizontal line that runs through the middle of the wave, representing the average value of the function. It can be found by taking the average of the maximum and minimum values of the function.

Front

How do you determine the period of the function y = 4Cos(2x)?

Back

Front

What is the amplitude of a sine or cosine function?

Back

The amplitude is the maximum distance from the midline to the peak (or trough) of the wave. It is given by the absolute value of the coefficient in front of the sine or cosine function.

Front

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

Back

Front

How do you find the midline of the function y = 2?

Back

The midline of the function y = 2 is simply the line y = 2, as it is a constant function.

Front

What is the effect of changing the coefficient of x in a sine or cosine function on its period?

Back

Front

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

Back

Front

What does a negative coefficient in front of a sine or cosine function indicate?

Back

A negative coefficient indicates a reflection of the graph across the midline.

Front

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

Back

The amplitude is 4, which is the absolute value of the coefficient in front of the cosine function.