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Mathematics 14 Online
OpenStudy (babynini):

Graphing question: cos, sine.

OpenStudy (anonymous):

Just to graph them both?

OpenStudy (babynini):

OpenStudy (freckles):

I'm checking your answers right?

OpenStudy (freckles):

amp is great! this looks like one cycle of the sin graph the length of that cycle (period) by doing b-a where b>a you know where b is the right endpoint and a is the left endpoint phaseshift number is great

OpenStudy (freckles):

\[y=8\sin(k[x+\frac{1}{2}])\] everything you wrote here is good except your k

OpenStudy (freckles):

well and the period as mentioned above

OpenStudy (freckles):

2pi/k=period once you find the period you can replace that word with period with the number you found for it and solve for k

OpenStudy (babynini):

Sorry, went to go eat dinner :P But i'm back!

OpenStudy (freckles):

ok well let me know what you think if you have any thoughts when you get done reading

OpenStudy (babynini):

So.. period = 3/2 so k =3pi?

OpenStudy (freckles):

period is 1/2+1 right so yes period is 3/2 now k checking k.... \[\frac{2\pi}{k}=\frac{3}{2} \\ 2 \pi(2)=3(k)\] oops looks you right on k to begin with

OpenStudy (freckles):

so your period is 3/2 and your k is 4pi/3 as you got before I image you just said period was 4pi/3 since k was 4pi/3 but that isn't the relationship between k and period

OpenStudy (babynini):

ah, so Amp=8 prd: 1.5 Phase s: -1/2 y=8sin(4pi/3(x+1/2))

OpenStudy (freckles):

yes I agree with that and we do not have to change the sign on the 8 this time since our max's and min's occur in the order of the max's and min's of the parent function y=8sin(x) you know we have the max 8 then the min -8 unlike the question before we had the max and min occurring in a different order then the parent function :)

OpenStudy (freckles):

anyways I have to do some things that involve very little math

OpenStudy (freckles):

unless you have any questions about this question

OpenStudy (babynini):

right, right. Nope it's all good :) Good luck with your maths!

OpenStudy (babynini):

Thanks ^-^

OpenStudy (freckles):

in the words of jennifer garner "good luck with fractions"

OpenStudy (freckles):

or at least her character on 13 going on 30

OpenStudy (babynini):

hahah. ey, I take that back actually. The homework thing marked the answer as wrong. y=8sin4pi/3(x+1/2) was marked wrong :|

OpenStudy (freckles):

the amp is right hmm the phase shift is at -1/2 let me check the k again \[\frac{2\pi}{k}=\frac{3}{2} \\ 2 \pi(2)=3k \\ \frac{4 \pi}{3}=k\] hmmm

OpenStudy (freckles):

http://www.wolframalpha.com/input/?i=y%3D8sin%284pi%2F3%28x%2B1%2F2%29%29 your graph matches this

OpenStudy (freckles):

there is nothing wrong with \[y=8 \sin(\frac{4\pi}{3}(x+\frac{1}{2}))\]

OpenStudy (freckles):

but hmm let me try to write it differently

OpenStudy (freckles):

one sec

OpenStudy (freckles):

actually no using cos won't work because it looks like they want sin because they were talking about sin but we could write it using cos

OpenStudy (babynini):

Right, I think it will mark it wrong if I were to use cos. but i'm not sure why it's not accepting it -.-

OpenStudy (freckles):

how many guesses can we have? I'm asking because maybe we can try to guess what the teacher meant but with the graph given this is definitely the answer

OpenStudy (babynini):

Er ,5. But I think I only have 3 left.

OpenStudy (freckles):

the only thing I can think I guess is maybe she meant to put pi's next to the numbers on the x-axis

OpenStudy (freckles):

but wait you said the period was not marked wrong right?

OpenStudy (freckles):

just the equation we got?

OpenStudy (babynini):

yeah amp=8 period=1.5 ps.=-1/2 are all correct. only the equation is wrong

OpenStudy (freckles):

ok just so you know y=8sin(4pi/3(x+1/2)) was the correct answer but what happens if you have write y=8sin(4/3(x+1/2)) don't try that if you already have though ?

OpenStudy (babynini):

I could try putting it in like: y=8sin(4 times pi/3(x+1/2)) ?

OpenStudy (freckles):

that would be weird if that made a difference

OpenStudy (freckles):

is it giving you an error message ?

OpenStudy (freckles):

like it is saying anything about how you are entering it

OpenStudy (babynini):

yeah it said it's wrong. the cos one is coming out wrong too :|

OpenStudy (babynini):

No it's not, it just marks it wrong.

OpenStudy (freckles):

the cos one we did before?

OpenStudy (babynini):

Yeah

OpenStudy (babynini):

Ah, I'm sorry this is taking so long :/

OpenStudy (freckles):

http://openstudy.com/users/babynini#/updates/5530703de4b0f0b1ce3ba56e but you said it was right here?

OpenStudy (freckles):

so the computer software changed its mind?

OpenStudy (babynini):

haha no, I didn't notice it had marked it wrong until now. Sorry about that.

OpenStudy (babynini):

oh! I found it out. It wanted a parenthesis around the k as well. So y=8sin(4pi/3(x+1/2))

OpenStudy (freckles):

computers are so dumb

OpenStudy (freckles):

like you know the interesting thing is that is now how they have their thingy above like they write y=a sin k(x-b) and not y=a sin(k(x-b))

OpenStudy (freckles):

not*

OpenStudy (babynini):

Dang right they are.

OpenStudy (freckles):

that is how I write mine as you see above but I think it is totally weird they wouldn't accept y=a sin k (x-b) when that is what they have

OpenStudy (freckles):

you know instead of y=a sin(k(x-b))

OpenStudy (babynini):

Yeah ._. I'm so sorry that took waay longer than it should have.

OpenStudy (freckles):

well it wasn't your fault it was the software your school or whoever chose or who ever programmed it to be weird like that

OpenStudy (freckles):

anyways peace

OpenStudy (babynini):

"whoever programmed it to be weird" xD Cya. You're the bomb!

OpenStudy (freckles):

lol later

OpenStudy (babynini):

:)

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