Question

MEDAL!!! (a). What is the period?
(b). What is the amplitude?
(c). What is the frequency?
(d). How is this graph related to its parent graph y=sinx and y=cosx

Answer 1

y=2sin(2xpi)+1

Answer 2

a.) period for a sin graph is = 2pi/(b) so here it would be 2pi/(2)= pi since the 2s cancel so your period is pi
b.)amplitude is the number in front of your trigonometric function, in this case its 2
c.) not entirely sure what you mean by this
d.) vertical stretch of 2, left pi, up 1

Answer 3

Erm, I don't know this stuff

Answer 4

@shubham.bagrecha

Answer 5

is that 2 * pi in y ?

Answer 6

what?

Answer 7

no is it 2pix

Answer 8

you know period of sin ?

Answer 9

2pi

Answer 10

yes
If a periodic function has period 'T' and there is a function like F=f(kx), then period of F will be T/k.

Answer 11

So, here ,
T=2pi
k(coefficient of x) = 2pi
therefore period of given function is T/k = 1.

Answer 12

understood ?

Answer 13

so the period of y=2sin(2Pix)+1 is 1?

Answer 14

yes

Answer 15

ok I get that so far

Answer 16

I know the amplitude is 2

Answer 17

then?

Answer 18

frequency= 1?

Answer 19

is it a physics problem as i don't know frequency in maths ?

Answer 20

if yes frequency=1 is correct

Answer 21

no this is precalc/trig.

Answer 22

but frequency is just T/1

Answer 23

are you 100% sure the period is 1? Just making sure lol

Answer 24

frequency=1/T=1

Answer 25

Sorry that is correct. Is the period 1 for sure though because that affects the frequency answer

Answer 26

correct?

Answer 27

frequency is 1/t not t/1 so you were right. The period is 1 though, right? You are 100% sure

Answer 28

yes

Answer 29

Ok so I get all that. What about D)

Answer 30

d) i can only say that all these have same curves (shapes)

Answer 31

D) wants to know about the phase shifts and stuff. I can talk about the different periods and amplitudes