Question

I need help PLEASE !!!! Write a cosine function that has an amplitude of 2, a midline of 4 and a period of 4.

Answer 1

Answer:

$\mathbf{y = 2cos ( \dfrac{\pi}{2}(x - 0) + 4}$

Step-by-step explanation:

The standardized cosine function is ;

$\mathbf{y = Acos (Bx + C) +D}$

Amplitude |A| = 2

Period $\dfrac{2 \pi}{B }= 4$

2π = 4B

$B = \dfrac{2 \pi}{4}$

$B = \dfrac{\pi}{2}$

Midline y = 4;  D = 4

Phase shift; since no phase shift is given; then C = 0

The cosine function: $\mathbf{y = 2cos ( \dfrac{\pi}{2}(x - 0) + 4}$