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SOLUTION

The parent function is a tan function which is written as

[tex]\tan x[/tex]

From the image given, it shows that the graph has undergo transformation of

[tex]\text{horizontal shift by =}\frac{\pi}{6}[/tex]

Then

[tex]\text{horozontal compression by 2 }[/tex]

Therefore

The equation becomes

[tex]y=\tan (2(x-\frac{\pi}{6})[/tex]

Answer ; tan(2(x-π/6)

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