The correct answer is option (b) 4 units
[tex]y=\tan ((\pi )/(4)(x-(\pi )/(3)))[/tex]
Use the form [tex]a tan(bx-c)+d[/tex]
The period of the function can be calculated by using [tex]\frac{\pi }{b}[/tex]
now replace b by [tex]\pi /4[/tex]
Period = [tex]\pi /\pi /4[/tex]
Hence the period is 4
Learn more about the period of the function below
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