How to sketch $y=2\tan(x+\frac{\pi}{4})$ , $x \in (0,2\pi)$

How to sketch $y=2\tan(x+\frac{\pi}{4})$ , $x \in (0,2\pi)$

$2\tan$ , 2 is used to be amplitude in $\cos$ and $\sin$ graph but for the $\tan$ there is no amplitude,so where will that $2\tan$ sketch, also

$x+\frac{\pi}{4}=\pi$

$x=\frac{4\pi}{4}-\frac{\pi}{4}$

$x=\frac{3\pi}{4}$

it is right?

Can you please explain me in step by step and show me how to sketch. Thank you so much.

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2022-07-25 20:45:30
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