Pre-Calculus- Section 6.1 (College)

Question

The curve above is the graph of a sinusoidal function. It goes through the points (-4,0) and (2,0). Find a sinusoidal function that matches the given graph. If needed, you can enter π=3.1416... as 'pi' in your answer, otherwise use at least 3 decimal digits.

Answer 1

I think you mean f(x)=3cos((π/3)*(x-.5))

6 is period, (x-positive offset) coefficient B=2π/6.

don't make mistake of saying 3cos((πx/3)-.5)

the offset needs to be included as (x-positive offset value), or (x+negative offset value)

x=-2.5

f(x)=-3

x=-4

f(x)=0