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[tex] y=-\tan [-2 (x+ \frac {\pi} {2} )] +3 [/tex] 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 [tex] \frac {\pi} {2} [/tex] units to the left

and a vertical displacement 3 uinits up.

Can someone please tell me if I made any mistakes?