state the amplitude and period of the sinusoid, and (relative to the basic function) the phase shift and…

state the amplitude and period of the sinusoid, and (relative to the basic function) the phase shift and vertical translation. y = 9 sin(2x - π/3)+0.8 what is the amplitude of the function? (simplify your answer. use integers or fractions for any numbers in the expression. type an exact answer, using π as needed.)

state the amplitude and period of the sinusoid, and (relative to the basic function) the phase shift and vertical translation. y = 9 sin(2x - π/3)+0.8 what is the amplitude of the function? (simplify your answer. use integers or fractions for any numbers in the expression. type an exact answer, using π as needed.)

Answer

Explanation:

Step1: Recall amplitude formula

For a sinusoidal function of the form $y = A\sin(Bx - C)+D$, the amplitude is given by $|A|$.

Step2: Identify A in the given function

In the function $y = 9\sin(2x-\frac{\pi}{3})+0.8$, $A = 9$.

Answer:

$9$