# CHECK PLEASE Tan BEHAviour IN TRANSFORMATION

1. Sep 13, 2005

### aisha

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.

2. Sep 13, 2005

### HallsofIvy

Staff Emeritus
Looks like a good start.

3. Sep 13, 2005

### roger

hallosivy, shouldnt that be -2(x-pi/2) instead of plus ?

4. Sep 13, 2005

### HallsofIvy

Staff Emeritus
Yep, sorry, didn't look close enough.