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

1 Answer
Alan N.
Jun 7, 2018

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]}

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