The sinusoidal function that passes through (0,-6), has a period of 12 and an amplitude of 3 will be y = 3 sin 12x - 6.
What is a sinusoidal Function?
It is a function that repeats itself in a particular time interval.
The equation is given as
y = Asin (ωx + Ф) + k
We have
Amplitude (A) = 3
Period (ω) = 12
Phase difference (Ф) = 0
Then the equation will be
y = 3 sin 12x + k
The function is passing through (0, -6). Then we have
-6 = 3sin (12 × 0) + k
-6 = k
Then the equation will be
y = 3 sin 12x - 6
More about the sine function link is given below.
https://brainly.com/question/3876065
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