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Write an equation of the form y=a sin b x or y=a cos b x to describe the graph below.

Write An Equation Of The Form Ya Sin B X Or Ya Cos B X To Describe The Graph Below class=

Sagot :

tomson1975

Greetings from Brasil...

In a trigonometric function of Cosine, we have:

F(X) = ±A ± B.COS(MX + N)

where

A = move the graph up or down

B = change the amplitude

M = change period

N = move the graph left or right without distorting it

According to the statement, we don't have A and N, so

F(X) = ± B.COS(MX)

According to the graph presented, we have:

B = amplitude = 2.5 = 5/2

period = π

detail that

Period = 2π/M

π = 2π/M ⇒ M = 2

As B = 5/2 and M = 2, then

F(X) = (5/2)COS(2X)

(I used the cosine function, because in X = 0  Y will have a non-zero value, as we can see in the graph)

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