Find C in general sine function

Endorser
Hello All,

I am just wondering how to find c in the sine function (y=asinb(x-c)+d).

I understand wat the values mean and how to find a b and d but c i am not to sure how to find unless there is a already given graph.

thanks

Homework Helper
c is the horizontal displacement of the graph: it shifts the graph of a sin(bx) + d to the right by c units.

I understand [...] how to find a b and d but c i am not to sure how to find unless there is a already given graph.
I don't quite get that. You cannot get a, b and d without a given graph either, or you need some other information to find them but then you can usually also find c...

Endorser
I don't quite get that. You cannot get a, b and d without a given graph either, or you need some other information to find them but then you can usually also find c...

I will give you an example of what i mean, check attachments below

Attachments

• Example.png
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If the c weren't there (or would be 0) then the maximum of the sine would be at $b x = \pi / 4$.
If the c weren't there (or would be 0) then the maximum of the sine would be at $b x = \pi / 4$.