## Trigonometric Graphing

*a*,

*b*,

*c*, and

*d*. The graph of the function will be updated automatically.

Selecting the "show base function" option causes the basic function (with
*a* = *b* = 1 and *c* = *d* = 0) to be graphed in red. The
function with other values for the parameters appears in green. (Note that if
the parameters of the base function are the same as the values for your
function, the graphs will be superimposed.)

Choose "degrees" to graph the function in degree measure, and choose "radians" to graph the function in radian measure.

Note: The amplitude is |A|, not A.

Change the values of *a*, *b*, *c*
and *d* one at a time.

- What effect does changing the value of
*a*have on the graph? - What effect does changing the value of
*b*have on the graph? - What effect does changing the value of
*c*have on the graph? - What effect does changing the value of
*d*have on the graph?

Given what you discovered, predict what the graph of
8 cos(2*x* – 30°) + 7 would look like. What are its amplitude and period?