Question

Not too sure... could you please check/help? :)

For the function, state the amplitude, period, phase shift, and vertical translation of the graph for the sinusoid.

y=2cos(2pi x)

a. Amplitude: _____________
b. Period: _______________
c. Phase Shift: ________________
d. Vertical Translation: ________________

***i will attach it inside as well just in case :)

Answer 1

just in case!!! :)

@jim_thompson5910 :)

Answer 2

amplitude= 2

is that right? ;/

Answer 3

period: 2pi/B= 2pi/2= pi

period= pi

is that right??

Answer 4

phase shift= C/B = 1/2

phase shift= 1/2

is that right>? ;/ not too sure on this one :/

Answer 5

vertical translation: 0

is that right?? ;/ again, not too sure on this one :/

Answer 6

Quite a mouthful...
Let's start with period... which takes the form
\[\huge \frac{2\pi}{B}\]But in this case, isn't it that
\[\huge B=2\pi\]?

Answer 7

\[\huge y=2\cos(2\pi x)\]

Answer 8

idk... im confused.... :/

Answer 9

The period is given by
\[\large \frac{2\pi}{B}\]
Where B is whatever coefficient the x had within the sin or the cos.
For instance, if it were...
\[\large y=\sin{2x}\]instead, then the period would be
\[\large \frac{2\pi}{2}=\pi\]

Answer 10

ohhh i see... okay... so I'm right?? :) period= pi ??

Answer 11

No. Because in this case...

Answer 12

ohh okay... so 2pi x is one value only??

so the period is pi x?

Answer 13

??????? :/