The values of a, b and c for the function such that the graph of f matches the figure are;
a = 3, b = -2, c = π
We are given the equation as;
f(x) = a sin(bx - c)
Now, the general form of equation of a sinusoidal wave is;
y = Asin(ωt + ϕ)
Where;
A is the amplitude of the wave
ω is the wave's angular frequency,
ϕ is the phase of the sine wave in radians.
Comparing that general equation to the one we are given, we have;
a as the amplitude
c as the phase
Now, from the attached image of the graph, the amplitude it the peak of the wave which is 3.
Thus; a = 3
Now, the phase angle from the graph which is the interval for each period of motion of the wave is seen to be π. Thus, c = π
Looking at the options, the only one that has the correct value of a and c is option A.
Read more about sinusoidal waves curve at; https://brainly.com/question/20431795
