Identify the amplitude and period of the following functions.

$q\(\left\)(x\(\right\))=3.6\(\cos\[\left\)(\(\frac{\pi x}{24}\]\right\))$

Identify the amplitude and period of the following functions.

p(t) = 2.5 sin ((1/2)(t-3))

Beginning with the graphs of $y=\(\sin\) x$ or $y=\(\cos\) x$, use shifting and scaling transformations to sketch the graph of the following functions. Use a graphing utility to check your work.

$q\(\left\)(x\(\right\))=3.6\(\cos\[\left\)(\(\frac{\pi x}{24}\]\right\))+2$

Design a sine function with the given properties.

It has a period of $12$ with a minimum value of $-4$ at $t=0$ and a maximum value of $4$ at $t=6$.

In Exercises 59–62, sketch the graph of the given function. What is the period of the function?

𝔂 = cos πx/2

Graph the functions in Exercises 13–22. What is the period of each function?

sin (x/2)

Graph the functions in Exercises 13–22. What is the period of each function?

−cos 2πx

Graph the functions in Exercises 13–22. What is the period of each function?

sin (x − π/4) + 1