Question

Using the data, determine a function in the form f ( x ) = A sin(k(x – c) ) + h .


Amplitude: 26
Period:
12
Phase Shift:
56

Answer 1

@3mar

Answer 2

@zepdrix

Answer 3

amplitude is given so u do not have to do any thing in that. ok.

Answer 4

next, how to get a period of 12 right.

Answer 5

Amplitude stays what has been given that is A =26

Answer 6

next u need to find k before you do that. here's an example.

let's say fuction is y = sin2x,
it's period is 2pie/2 =pie

generalizing the fact if u have any function say y= sinkx, it's period is always 2pie/k, u just divide it by the number so because you need to find k in your question.

Answer 7

you are given period = 12 =>

12 = 2pie/k
=> k =6/pie

Answer 8

wait, k = pie/6 (correction, I did calculation wrong earlier)

next you need to find c,
so whenever you have any function for example y= sin(B(x-C))

the phase shift becomes C/B

now as we have already find k, and you are given phase shift 56

using the above formula 56 = C/k

=> 56 = C/(pie/6)
=> 56*pie/6 =C
=> C = 56pie/6 = 28pie/3

Answer 9

areyou getting it @RhondaSommer