# CHECK PLEASE Tan BEHAviour IN TRANSFORMATION

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.