Question

BRAINLIESTT ASAP! PLEASE HELP ME :)

Answer 1

Answer:

○$\displaystyle y = ±2cos(2θ + \frac{1}{4}π) - 2$

Step-by-step explanation:

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

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

$\displaystyle Phase\:[Horisontal]\:Shift → \frac{-\frac{π}{4}}{2} = -\frac{π}{8} \\ Period → \frac{2}{2}π = π$

Therefore we have our answer.

Extended Information on the trigonometric function

$\displaystyle Vertical\:Shift → D \\ Phase\:[Horisontal]\:Shift → \frac{C}{B} \\ Period → \frac{2}{B}π \\ Amplitude → |A|$

NOTE: Sometimes, your vertical shift might tell you to shift your graph below or above the midline where the amplitude is.

I am joyous to assist you anytime.