What is 34556 plus 24542
2 answers:
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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.
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You haven't provided the required roots, but I can tell you how to do this kind of exercises in general.
If the coefficient is 1, i.e. the equation is written like
, then you can say the following about the coefficients b and c:
is the opposite of the sum of the roots
is the multiplication of the roots.
So, for example, if we want an equation whose roots are 4 and -2, we have:
So, the equation is
If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:
And so the equation is
In order to have integer coefficients, you can multiply both sides of the equation by 8: