Question

The curve above is the graph of a sinusoidal function. It goes through the point (4,0). Find a sinusoidal function that matches the given graph.

Answer 1

@hartnn

Answer 2

this far i have -3sin... i forget how to get b.

Answer 3

the amplitude is always positive, so +3
+3 sin (....)
the phase shift is 90 degrees, so you can write,
3sin (ax+b) = 3sin (90-ax) (or = 3cos ax, because sin(90-t)=cos t )

Answer 4

what general form you were using that included 'b' ?

Answer 5

Atrigfunctionhere(BX+C)

Answer 6

oh, so,
y=Asin (bx+c)
where A = +3, c =90 degrees
and you wanted b, right ?

Answer 7

yes....
but i am not sure how to come to the answer.

Answer 8

plug in in the point (4,0)
x=4,y=0 in y=3sin (bx+90)

Answer 9

3sin b*4+90= c?

Answer 10

0=3sin (4b+90)
but i don't think that will give you answer in standard form you require.

Answer 11

and the amp should be neg because from 0 to 1 it is decreasing to the minimum.

Answer 12

no i am trying to find the equation to the graph... and it has to be exact because its web workk.