How can I use information to draw a graph for trigonometric functions?

[wajed]

1:...
2:...
3:...

4:
Y = A cos(Bx+C)+K
Y = A sin(Bx+C)+K
I know what A,B,C, and K mean.. and I Also understand that I can get the Period from B..
but, how can I use the information to draw the graph?
I think I should use critical points, right? If so, what should I typically use?

I dunno, I may face more problems, so I`m going to post as soon as I face anything..

Thank you in advance,


Edit:
well, I got an answer to the first two\three questions through Yahoo answers, but I still need an answer to the fourth one, please?



-
--
---
EDIT2:
Actually I think I could figure out how to draw the graph.. so thank you all,

I think the topic should be closed.. (I got no more questions)

 

[danago]

Do you know that the standard y = sin x and y = cos x graphs look like? If so, then you just need to apply a set of transformations to obtain the graphs in 4.

First consider the case where K=0, C=0 and B=1, so we have the graph of y = A sin x.

How will this compare to the graph of y = sin x? We know that 'A' affects the amplitude of the graph. The standard graph has an amplitude of 1 unit. If we multply it by 'A', the new amplitude will be 'A'. So on a graph it will be very similar to the standard graph, with the difference being that instead of reaching a maximum of 1 and minimum of -1, it reaches a maximum of A and a minimum of -A.

How will changing the other variables affect the graph?

Basically, what i am saying is that to draw the graphs, consider what changing the values of A, B, C and K does (which you said you understand), and then simply do each transformation one step at a time, starting with the basic graph of y = sin x.

 

[wajed]

danago, I`m really sorry..
when I said the topic should be closed I didn`t notice that u replied

thanx actually, n am sry I didn`t mean to be rude..