Question

What is the equation of the following graph?

Answer 1

do you know your basic trigonometric functions

Answer 2

for which of the three sin,cos,tan is x=0 have an output of y=1

Answer 3

yes

Answer 4

i don't know

Answer 5

...

Answer 6

so cos is the only one that yields a value of 1 at x=0 so the graph must be...

Answer 7

f(x) = cos(theta) ?

Answer 8

yes

Answer 9

i have a similar one, can you help me with it @recon14193

Answer 10

sure

Answer 11

what is the equation of this graph

Answer 12

@recon14193

Answer 13

ok so we know that cos is the only one of the 3 that yields 1 for x=0 and that the other functions sin and tan yield 0

Answer 14

and 0 multiplied by anything is still zero so the only one of the 3 it could be is cos

Answer 15

but this cos has had some shifts and changes do you know the changes

Answer 16

no

Answer 17

just basic changes for the trig graphs like amplitude period and shifts?

Answer 18

like it's up 3?

Answer 19

ok lets start more toward the beginning do you know what amplitude and period are

Answer 20

not exactly no

Answer 21

ok so amplitude is how far a wave moves from its central line which is just an imaginary line drawn horizontally that passes through the wave so that the crest would be the same distance away as the trough if we look at your previous graph y=cosx we see this is the x-axis

Answer 22

and the crest is at 1 and the trough is at -1 so its amplitude is 1

Answer 23

okay i see that

Answer 24

so where does that line look for the current graph

Answer 25

3 and -1

Answer 26

well those are where the crests and troughs are but where is that center line because in total -3 and 1 are 4 units apart so the center line is at...

Answer 27

1?

Answer 28

yes you got it

Answer 29

so this means the graph is shifted up one

Answer 30

so now we have the graph cos(x)+1 but we know the amplitude is not one because that would mean the crests and troughs would be at 0 and 2 but they are not

Answer 31

so we have a different amplitude so how far away from the center line is 3

Answer 32

2 units?

Answer 33

@recon14193

Answer 34

@recon14193

Answer 35

sorry went out to dinner

Answer 36

u still there?

Answer 37

anyway yeah the amplitude is 2 so that leaves us with a final equation of
2sin(x)+1