I need help fast pleasee

Question

asked Nov 13, 2023 137k views

1 Answer

Gaurang Goda · Answer 1 · 2023-11-19T16:58:25+0000

Answer:

y = - cos (
(3)/(4) x +
$(\pi )/(4)$ )

Explanation:

y = A cos ( Bx + C) + D

Vertical shift D = 0

A = - 1

Compression / Stretching B

Period of given function is
$(8\pi )/(3)$

Period of cos x is 2π

$(8\pi )/(3)$ =
$(2\pi )/(B)$ ⇒ B =
(3)/(4)

Horizontal shift is C ÷ B

Horizontal shift of given function is
$(\pi )/(3)$

$(\pi )/(3)$ = C ÷
(3)/(4) ⇒ C =
$(\pi )/(4)$

So, the equation of given function is

y = - cos (
(3)/(4) x +
$(\pi )/(4)$ )