Question

Describe how the graph of the function y=1.5sin(4x) is related to the graph of y=sin(x). Then, graph two periods of y=1.5sin(4x).

***Idk how to solve this at all :(

and also, i will attach the graph it gives me to draw/graph the periods on! :D

@jim_thompson5910 :) thankss :)

Answer 1

here is what I'm supposed to graph that second part on...

but first i'm supposed to describe how to graph it?? :/ idk how thoo :(

Answer 2

In general, we have this

y = A*sin(Bx - C) + D

The amplitude is |A|

The period of that equation above is T = 2pi/B

Answer 3

In the case of y = sin(x), the amplitude is |A| = |1| = 1

and the period is T = 2pi/B = 2pi/1 = 2pi

Answer 4

so what's the amplitude and period of y=1.5sin(4x)

Answer 5

urmm 0? :/ ***not too sure.. i plugged into my calc.. am i supposed to do that?

Answer 6

what's the amplitude of y=1.5sin(4x)

Answer 7

idk :(

i got 0? but i don't think i did it right...

Answer 8

compare it to y = A*sin(x)

Answer 9

what is the value of A?

Answer 10

A=1? :/

Answer 11

idk im so sorry :( I'm super lost :(

Answer 12

compare

y = 1.5sin(4x)

to

y = A*sin(Bx)

you'll see that A = ?? and B = ??

Answer 13

ohhh A=1.5?? and B=4 ??

Answer 14

so the amplitude is 1.5

the period is 2pi/B = 2pi/4 = pi/2

Answer 15

so basically the period is pi/2??

that is the most simplified form?

Answer 16

how would i describe that entire thing though?? like all of it?? :/ sorry, cuz all the jumbled up ness is confusing me even more :( sorry bout that!! :/

Answer 17

yeah it's pi/2, I would suggest learning the general form y = A*sin(Bx - C) + D and practicing with it a bit more

Answer 18

okay :)

so is that how they are related?? :/

the amplitude and the period?? :/

Answer 19

the amplitude tells you how tall the overall graph is (think of it like the height of the wave)

Answer 20

the period tells you when and where the graphs does a complete cycle and starts to repeat itself over again

Answer 21

*graph does*

Answer 22

or maybe do u think it would be better if i studied up a bit more on this and then came back tomorrow?? :) do u think that would be better? that way i understand it more and we can finish the whole describing thing and the graphing part?? so that it isn't just you giving me the answer? :)

and ohhh i see haha that clears it up a lot :P lol typos... :/

Answer 23

like after i study it a bit more and think i get it better, i will reply sometime tomorrow and we can take it from there? :)

Answer 24

what do u thinK? :D

Answer 25

that sounds like a good idea

Answer 26

okay, awesome! i will reply to this later tomorrow then :)see ya manana hopefully!! :)

Answer 27

and hopefully i will understand this concept a lot better!! :D

Answer 28

see you later as well, have a good night

Answer 29

thanks! you too! :) see yaaaa :D

Answer 30

okay, so i studied up a bit on it and i think i get it more... but i still don't understand what the amplitude or what the two periods of y=1.5sin(4x) are... nor do i know how to describe how the graph of that function is related to the graph of y=sin(x).... I'm still kinda confused ;(

im sorryyy.. do u think u can explain it and how to solve this problem?? i am utterly stuck :(

Answer 31

there's only one period, and it's pi/2

remember how we got this?

Answer 32

yes, but kinda ish... so the problem asks this:

Describe how the graph of the function y=1.5sin(4x) is related to the graph of y=sin(x). Then graph two periods of y=1.5sin(4x).

***Graph according to the graph that I will attach :)

BUt I'm confused... it says to graph TWO periods, but you say there is only one? :/

and how do i describe it and how do i graph it? :/

Answer 33

lol random side note...someone just sent me a message but they have it set up to where I can't send a message back...how frustrating and confusing...anyways, sry for the random thought

when it says graph two periods, it means graph two complete cycles. The graph of y = 1.5sin(4x) has a period of pi/2. To graph two complete cycles, you would start at x = 0 and go to x = pi/2 to do one complete cycle, then you would go from x = pi/2 to x = pi to do a full second cycle. Make sense?

Answer 34

so let's say for example this is the graph of y = 1.5sin(4x) (it's not, let's just say it is)