Respuesta :

Answer:

period

8π

Amplitude

3

Step-by-step explanation:

The periodicity of a*sin(bx±c)±d is;

sine base periodicity/absolute (b) = [tex]\frac{2pi}{\frac{1}{4} }=8pi[/tex]

The Amplitude of a*sin(bx±c)±d is; absolute (a). In this case, the Amplitude is the absolute value of 3 which is 3.

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zainebamir540

Answer:

Period = 8π

Amplitude = 3

Step-by-step explanation:

We have given a function.

y = 3sin(x/4)+2

We have to find the period and amplitude of the given function.

Comparing the given function and y = asin(bx)+c , we have

a = 3 and b = 1/4 = 0.25 and c = 2.

Period of function is:

Period = 2π / b

Period = 2π / .25

Period = 8π

The amplitude of function is absolute value of a.

Amplitude = 3

The amplitude of function is 3 and period is 8π.

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