# Thread: Finding the formula for a graph

1. ## Finding the formula for a graph

I need help with finding the horizontal shift for the function P = f(t). Also how would we find the formula for this? I already know that Midline is 2100, Amplitude is 900. But I don't know how to complete this formula...
900 * sin (???) + 2100

Thanks.

2. The period of this function is 4

Use the fact that $n$ influences the period in $\sin(nx)$

and period is given by $\frac{2\pi}{n}$

so solve $4=\frac{2\pi}{n}$

3. Originally Posted by florx

I need help with finding the horizontal shift for the function P = f(t). Also how would we find the formula for this? I already know that Midline is 2100, Amplitude is 900. But I don't know how to complete this formula...
900 * sin (???) + 2100

Thanks.
$P(t) = -900\sin\left[B(t \pm C)\right] + 2100$

$B = \frac{2\pi}{4} = \frac{\pi}{2}$

C = phase shift ... looks close to a 0.5 shift to the left to me.

4. Hmm, I don't get how you got -900 from. The amplitude is 900. What made you put a negative in front of it? Also where did you get the 0.5 from. What formula did you use?

5. Originally Posted by florx
Hmm, I don't get how you got -900 from. The amplitude is 900. What made you put a negative in front of it? Also where did you get the 0.5 from. What formula did you use?
look at the curve ... it's an inverted sine wave.

amplitude = |A|

as far as the 0.5 ... no formula, I just looked at the graph's horizontal shift.