graphing trig review

Front

What is the amplitude of a sine function?

Back

The amplitude is the maximum distance from the midline of the graph to the peak or trough. It is always a positive value.

Front

What is the period of a trigonometric function?

Back

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

Front

Does the graph of sine have asymptotes?

Back

No, the graph of sine does not have asymptotes.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction a/b is b/a.

Front

How do you find the period of the function y=cos(kx)?

Back

The period is calculated as 2π/k.

Front

What is the amplitude of y=-3sin(7x)-2?

Back

3

Front

What is the period of the function y=7cos(6x)?

Back

π/3

Front

What does the vertical shift in a trigonometric function indicate?

Back

The vertical shift indicates how far the graph is moved up or down from the midline.

Front

What is the midline of a trigonometric function?

Back

The midline is the horizontal line that runs through the center of the graph, equidistant from the maximum and minimum values.

Front

What is the effect of a negative sign in front of a sine or cosine function?

Back

A negative sign reflects the graph across the x-axis.