Mathematics
13.02.2023 09:37
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Plz answer what cosine function represents an amplitude of 3, a period of ฯ€, no

Plz answer what cosine function represents an amplitude of 3, a period of ฯ€, no horizontal shift, and a vertical shift of 2?
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esnyderquintero
esnyderquintero
4,9(13 marks)

y = 3cos(2x) + 2

Step-by-step explanation:

A cosine function is represented ย by y = acos(bx + c) + d

a = amplitude

b = \frac{2\pi }{\text{Period}}

c = horizontal shift

d = vertical shift

Given values of a = 3

period = ฯ€ = \frac{2\pi }{b}

So, b = \frac{2\pi }{\pi }=2

Horizontal shift c = 0

and d = 2

Therefore, y=3cos(2x+0)+2 will be the equation.

BreBreDoeCCx
BreBreDoeCCx
4,9(15 marks)
F(x) = -3 * 2 - 6x
So f(-6) = -6 - 6 * -6
= -6 + 36 = 30

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