Answer:
y = - [tex]\frac{7}{2}[/tex] cos ( [tex]\frac{1}{2}[/tex] x ) , y = cos ( 3x ) + 2
Step-by-step explanation:
Image 1.
The graph is reflection of cosine over x-axis and max is 3.5 ⇒ A = - [tex]\frac{7}{2}[/tex]
Period is ( 4 π ) ⇒ B = [tex]\frac{1}{2}[/tex]
There are no horizontal and vertical shifts ⇒ C = D = 0
y = - [tex]\frac{7}{2}[/tex] cos ( [tex]\frac{1}{2}[/tex] x )
Image 3.
The graph of cosine shifted 2 units up only ⇒ D = 2 , C = 0
Period of the given function is [tex]\frac{2\pi }{3}[/tex] ⇒ B = 3
y = cos ( 3x ) + 2
