Answer:
[tex]\mathbf{y = 2cos ( \dfrac{\pi}{2}(x - 0) + 4}[/tex]
Step-by-step explanation:
The standardized cosine function is ;
[tex]\mathbf{y = Acos (Bx + C) +D}[/tex]
Amplitude |A| = 2
Period [tex]\dfrac{2 \pi}{B }= 4[/tex]
2π = 4B
[tex]B = \dfrac{2 \pi}{4}[/tex]
[tex]B = \dfrac{\pi}{2}[/tex]
Midline y = 4; D = 4
Phase shift; since no phase shift is given; then C = 0
The cosine function: [tex]\mathbf{y = 2cos ( \dfrac{\pi}{2}(x - 0) + 4}[/tex]
