What is that the period, amplitude, and phase shift of f(x) = 3cos2(x- pi/4)+1 ?

b) List the five critical points for the first cycle.

c) Use this information to sketch the graph of f(x) for two complete cycles. Determine ¼ wave and starting point. Clearly label the scale on both axes.

Question

What is that the period, amplitude, and phase shift of f(x) = 3cos2(x- pi/4)+1 ?

b) List the five critical points for the first cycle. 


c) Use this information to sketch the graph of f(x) for two complete cycles. Determine ¼ wave and starting point. Clearly label the scale on both axes.

loser66 · Answer

any idea?

anonymous · Answer

@Loser66 no :( please teach me

loser66 · Answer

:( how to teach ????

loser66 · Answer

willing to study?? need patience (I need it , too) OK?

loser66 · Answer

@ranga  I don't know how to teach, please, help

anonymous · Answer

amplitude will be 3. period :2pi /2 = pi . phase shift is 2*pi/4 = pi/2.critical points are when first or second derivative = 0.

anonymous · Answer

@sre can you help me figure out the critical points, I haven't learned how to calculate them yet

anonymous · Answer

general form is
$$f(x)=Acos(\omega t+\phi _{0})$$

anonymous · Answer

A:amplitude
omega: angular frequency
t: time
phi_0:phase

anonymous · Answer

$$\omega=\frac{ 2\pi }{ T }$$
T is the period

anonymous · Answer

I believe the phase of the function is everything within the trig function and the period can be calculated from omega

anonymous · Answer

$$x-\frac{ \pi }{ 4 }=0=\phi $$

dumbcow · Answer

is that a cos^2 function?

dumbcow · Answer

http://www.wolframalpha.com/input/?i=plot+3cos%5E2%28x-pi%2F4%29+%2B1+for+x+%3D+0+to+4pi

anonymous · Answer

@sre can you guys help me graph c) please somebody? or is @dumbcow example the sketch for f(x) for two complete cycles?