Answer:
D
Step-by-step explanation:
Solution:-
The standard sinusoidal waveform defined over the domain [ 0 , 2π ] is given as:
f ( x ) = sin ( w*x ± k ) ± b
Where,
w: The frequency of the cycle
k: The phase difference
b: The vertical shift of center line from origin
We are given that the function completes 2 cycles over the domain of [ 0 , 2π ]. The number of cycles of a sinusoidal wave is given by the frequency parameter ( w ).
We will plug in w = 2. No information is given regarding the phase difference ( k ) and the position of waveform from the origin. So we can set these parameters to zero. k = b = 0.
The resulting sinusoidal waveform can be expressed as:
f ( x ) = sin ( 2x ) ... Answer
Hi friend,
This is a perfect square trinomial.
It can be recognised because it is of the form:
a^2−2ab+b^2=(a−b)^2
with a=3x and b=4
9x2−24x+16=(3x)2−(2⋅(3x)⋅4)+42
=(3x−4)2
A because we all know the intersection of sin is always in (0,0) but in this case it is different
