Mix Sinusodial Practice

Front

What is the amplitude of a sinusoidal function?

Back

The amplitude is the maximum distance from the midline to the peak (or trough) of the wave. It determines the height of the wave.

Front

What is the period of a sinusoidal function?

Back

Front

What does the midline of a sinusoidal function represent?

Back

The midline is the horizontal line that runs through the middle of the wave, representing the average value of the function.

Front

How do you determine the starting point of a sinusoidal function?

Back

The starting point is determined by the phase shift and the type of function (sine or cosine). For cosine functions starting at a minimum, the equation will have a negative amplitude.

Front

What is the general form of a sinusoidal function?

Back

Front

If a sinusoidal function has an amplitude of 5, what is the maximum value?

Back

The maximum value is the midline value plus the amplitude. If the midline is 0, the maximum value is 5.

Front

What is the effect of changing the amplitude on a sinusoidal graph?

Back

Changing the amplitude stretches or compresses the graph vertically. A larger amplitude results in taller peaks and deeper troughs.

Front

How do you find the period of a sine function given its equation?

Back

Front

What is the difference between sine and cosine functions in terms of their graphs?

Back

Sine functions start at the midline (0) and go up, while cosine functions start at the maximum value (amplitude) and go down.

Front

What does a negative amplitude indicate in a sinusoidal function?

Back

A negative amplitude indicates that the graph is reflected over the midline, meaning it starts at a minimum value instead of a maximum.