Find a b and c for the function fx a sinbx c such that the

Find a, b, and c for the function

f(x) = a sin(bx c)

such that the graph of f matches the figure.

Solution

Here amplitude=(4-(-4))/2=4

Period=(4-0)=4

2pi/B=4

B=pi/2

And phase shift=pi/2

So the required equation is

y=4sin(pi x/2 +pi/2)