CHECK PLEASE Tan BEHAviour IN TRANSFORMATION

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The discussion focuses on the differences between the functions y = -tan(-2x + π) and y = tan(x). The first function exhibits a horizontal compression by a factor of 1/2, is reflected across both the x and y-axes, and includes a horizontal translation of π/2 units to the left, along with a vertical displacement of 3 units upward. A participant points out a potential mistake in the rearrangement, suggesting it should be -2(x - π/2) instead of plus. The conversation highlights the importance of careful examination in mathematical transformations. Overall, the participants are engaged in clarifying the transformations of the tangent function.
aisha
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HOw does y-3=-\tan (-2x+\pi) differ from y=tan(x)

y=-\tan [-2 (x+ \frac {\pi} {2} )] +3 rearranged

It differs because it has a

Horizontal compression by a factor of 1/2
it is reflected in the x and y-axis
there is a horizontal translation \frac {\pi} {2} units to the left
and a vertical displacement 3 uinits up.

Can someone please tell me if I made any mistakes?
 
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Looks like a good start.
 
hallosivy, shouldn't that be -2(x-pi/2) instead of plus ?
 
Yep, sorry, didn't look close enough.
 

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