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andriy [413]
3 years ago
12

Write a cosine function that has a midline of 5, an amplitude of 3 and a frequency of 4/5

Mathematics
1 answer:
a_sh-v [17]3 years ago
4 0

Answer:

3\cos(\frac{8\pi}{5}x)+5

Step-by-step explanation:

Recall that a cosine function of the form A\cos(Bx-C)+D has the following:

- amplitude A

- Frequeny \frac{B}{2\pi}.

- Phase shift \frac{C}{B}

- Midline D

So, in our case, we know that A=3, \frac{B}{2\pi}=\frac{4}{5}(which implies that B=\frac{8\pi}{5}) and D=5. Since we are not said everything about the Phase shift, lets asumme that the Phase shift is 0. Hence C=0.

Then, our desired function is 3\cos(\frac{8\pi}{5}x)+5

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