The curve above is the graph of a sinusoidal function it goe

The curve above is the graph of a sinusoidal function, it goes through the points (-5, -2) and (1, - 2). Find a sinusoidal function that matches the given graph. If needed, you can enter w=3.1416... as \'pi\' in your answer, otherwise use at least 3 decimal digits. f(x) =

Solution

solution:

as this sinosuidal function has amplitude 2

and time period 6

and shifted to left 3.5 units

hence

equation is

2sin((pi*x/3)+3.5)