Respuesta :
Answer:
The general equation of the sine function is;
y = 2 sine(2(x - π))
Step-by-step explanation:
Mathematically , the general equation of a sine function(sinusoid) can be written as;
y = A sin (B(x-C)) + D
where, A represents the amplitude
B is the frequency , where period = 2 π/B
D is vertical shift
C is the horizontal or phase shift
From the question, we have the following;
Amplitude of 2(A) ,
Period = π
Since Period = 2 π/B
This means that π = 2 π/B
Dividing both sides by π ; B = 2
Horizontal shift = π units = C
Plugging these values, we have
y = 2 sine(2(x - π))
The general equation of the sine function is [tex]y = 2 sin(2(x-\pi))[/tex]
The standard general equation of a sine function is represented as,
[tex]y = A sin (B(x-C)) + D[/tex]
where, A represents the amplitude, B is the frequency, D is vertical shift and C is the phase shift.
Given that, amplitude of 2, a period of [tex]\pi[/tex] and a horizontal shift of
Therefore, general equation of sine function is,
[tex]y = 2 sin(2(x-\pi))[/tex]
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