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

Mathematics

1 answer:

stiv31 [10]2 years ago

5 0

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

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