## anonymous 5 years ago Find the amplitude and period of the function? -5sin(4pix)

1. anonymous

So a general formula for a periodic function is as follows: $A\sin{2\pi f x}$ Where $$|A|$$ will be the amplitude, and $$f$$ will be the frequency, which is one over the period ($$P=\frac{1}{f}$$).

2. anonymous

Can you get the answer from that?

3. anonymous

I don't understand the P=1/f part?

4. anonymous

Well, P is the period. And $$f$$ is the frequency. That's just saying the reciprocal of the frequency is the period.

5. anonymous

In the argument of your function you have 4*Pi*x. Your objective should be to make this match the form of 2*Pi*f*x. Then, your F is the denominator of your P=1/f.

6. anonymous

Ok, Thanks. One more y= 7sin (1/2(x+pi/3))

7. anonymous

Well, a more general form of the equation is: $A\sin(2\pi f x + \phi)$ This means all you have to do is multiply out the things inside the parentheses, and then fit them to find what your $$f$$ is.