Question

BRAINLIESTTT ASAP! PLEASE HELP ME :)

Answer 1

$\displaystyle y = Atan(Bx - C) + D$

According to this trigonometric function, −C gives you the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL:

$\displaystyle Phase\:[Horisontal]\:Shift → \frac{-\frac{π}{6}}{1} = -\frac{π}{6} \\ Period → \frac{π}{1} = π$

Therefore we have our answer.

Extended Information on the trigonometric function

$\displaystyle Vertical\:Shift → D \\ Phase\:[Horisontal]\:Shift → \frac{C}{B} \\ Period → \frac{π}{B} \\ Amplitude → |A|$

NOTE: Sometimes, your vertical shift might tell you to extend the troughs on each end of your graphs, beyond the midline.

* All tangent functions have NO AMPLITUDE.

I am joyous to assist you anytime.