Question

How do you graph `f(x)=y=sin (x/2)`?

Answer 1

See below

Explanation:

`y=sin(x/2)`

Consider the general equation of a sine function: `Asin(Bx)`

By definition, the amplitude of the function is `absA` and the period of the function is `(2pi)/abs(B)`

In this example, `A=1 and B=1/2`

Hence, the graph of `y` is a standard sine curve with a period of `4pi` as shown below.

graph{sin(x/2) [-7.9, 7.9, -3.95, 3.95]}