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Home Q & A Board Science-Related Homework Help Mathematics Pre-calculus and Functions
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marinejas marinejas
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Posts: 233
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3 years ago
For one of my questions I'm supposed to determine a sine equation and cosine equation for the following graph, I believe I've found the amplitude and the period but had difficulty with finding the phase shift, how would you do that exactly?
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#1
Educator
3 years ago
We have some AMAZING videos on this topic Slight Smile





Review them very carefully, and you'll be an expert.

Let me know if you have any questions...
wrote...
#2
Educator
3 years ago
Here's another one for sine.



Give it some love, like and share!
marinejas Author
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#3
3 years ago
still a little confused with finding the phase shift, because my graph seems it different, I'm getting different numbers. Can I show you my graph and what I have did so far?
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#4
Educator
3 years ago
Yes
marinejas Author
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#5
3 years ago
Ok Thanks!
So to find the amplitude, I did max-min/2 = 1-(-3)/2=2 then to find the c value/or equ of axis, max+min/2 = 1 + (-3)/2 = -1
To find the period
P= 2pi/b
2pi/4pi
=1/2
And then I was stuck on the phase shift and the rest
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#6
Educator
3 years ago
Something like this:



Make sure to watch the videos again
marinejas Author
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#7
3 years ago
The sin equation would be y= 2sin(2/3x+pi/m)-1, correct?
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#8
Educator
3 years ago
Honestly, not sure. Post it on desmos, see what difference it makes... report back
marinejas Author
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#9
3 years ago
Just checked! and sin is slightly shifted (blue is sin) (green is cos) so I guess I was wrong. I saw a video that said to switch signs Frowning Face
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#10
Educator
3 years ago
What this suggests is that to convert a function from cosine to sine, it's not as simple as changing the letters. There's actually a process to doing it.

Leave it as cosine, unless you were specifically asked to write it as sine
marinejas Author
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#11
3 years ago
The question asks me to write it as sine as well
Answer accepted by topic starter
bio_manbio_man
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#12
Educator
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3 years ago
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