Question

Help please! Will medal and fan!

Answer 1

How do I find the sine function?

Answer 2

what do you mean by find the sine function?

Answer 3

Like how do I find the equation?

Answer 4

well you know what regular sine looks like and then you take the generic form of a sine function http://www.regentsprep.org/regents/math/algtrig/att7/sinusoidal.htm

Answer 5

and look at the graph you have. you can see the difference in amplitude and shifts. you can put these numbers in your general form to get your sine function for that graph

Answer 6

for example rather than moving away from its normal by 1 it moves away by 3 so your first thing is 3sin(B(x-C))+D

Answer 7

what are amplitude and shifts

Answer 8

do you remember how if you y=x and you make it y=x+5 it shifts it up 5?

Answer 9

yes

Answer 10

it's the same thing with sine so in your basic equation you have Asin(B(x+C)+D
A is the amplitude this determines how big the waves are
B changes the period which is how close together the waves are and is used in p=(2pi/B)
C is a shift right or left
D is a shift up or down

Answer 11

ok let me see

Answer 12

it would be best pull up a side by side to compare the two graphs

Answer 13

my graph doesn't go through pi, pi2, etc

Answer 14

Is the amplitude 4?

Answer 15

Close the amplitude is 3 the thing to recognize is that at zero its height is not zero like in sin(x). It's height is 1 so it's been shifted up 1 and it reaches 4 and 1-4=3 so its amplitude is 3

Answer 16

so for now the graph is 3sin(B(x+C)+D?

Answer 17

exactly

Answer 18

How do I find the period?

Answer 19

so the period is how often it repeats the normal period for sine is 2pi and is considered to look like this

Answer 20

So is it pi?

Answer 21

now we look at our graph and see how long it takes for it to make that shape

Answer 22

yes the period is pi. Before we plug that into the equation though we have to remember that p=(2pi/B)

Answer 23

so we have p (the period) and we have to solve for B then we can plug that into our equation

Answer 24

p=(2pi/pi)?

Answer 25

that equals 2

Answer 26

yes

Answer 27

and the equation isnt shifted right or left so the equation we have now is
3sin(2x)+D
all we have left is to find how much it is moved up or down

Answer 28

we do this by looking at the origin. A regular sine function passes through 0,0. This one passes through 0,1

Answer 29

It moves up 1 right?

Answer 30

yes

Answer 31

and so that's your final piece you're all done and that's your equation

Answer 32

IT'S 3sin (2(x-0))+1