Hello!
The parent function of the graph of sin is y = sin(x).
Amplitude is the maximum displacement on the graph of a function.
Period is the displacement of x at which the graph of a function begins to repeat.
The period can be found by using the formula:
.
Since the amplitude is 3, the graph of sin is y = 3sin(x).
Given the period 2π, we can substitute this value into the given formula,
, to find B.
2π = 2π / B (multiply B to both sides)
2π · B = 2π (divide by 2π)
B = 1
Thus, the equation is y = 3sin(x). I'll post the graph as well.
The answer i think is the rate
3.78 x 10^9 = 3780000000 = 3,780,000,000
3,780,000,000 / 14,000 = 270,000
270,000 = 2.7 x 10^5