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PLEASE HELP
y=2cos(x/4+pi)1
find period, phase shift, and vertical shift
 one year ago
 one year ago
PLEASE HELP y=2cos(x/4+pi)1 find period, phase shift, and vertical shift
 one year ago
 one year ago

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tkhunnyBest ResponseYou've already chosen the best response.1
Well, do it. \(y = \cos(x)\) Amplitude: 1 Period: \(2\pi\) Phase Shift: 0 Vetical Shift: 0 \(y = 2\cos(x)\) Amplitude: 2 Period: \(2\pi\) Phase Shift: 0 Vetical Shift: 0 \(y = 2\cos(x)  1\) Amplitude: 2 Period: \(2\pi\) Phase Shift: 0 Vetical Shift: 1 You do the rest.
 one year ago

kenneyfamilyBest ResponseYou've already chosen the best response.0
sorry could you please explain further? i am confused @tkhunny
 one year ago

tkhunnyBest ResponseYou've already chosen the best response.1
Yes I can, but you need to get unconfused. Each piece means something. I showed you the basic functino, the Amplitude, and the Vertical Shift (outside of the function argument). Now, you go find the Phase Shift and the Period. Hint, they are inside the function argument.
 one year ago

kenneyfamilyBest ResponseYou've already chosen the best response.0
period is pi/2? or 2pi. and phase shift is either pi/4 or 4 pi. i think. sorry i am trying to follow @tkhunny
 one year ago

tkhunnyBest ResponseYou've already chosen the best response.1
It helps a LOT if you organize and keep track of everything. In my version, I added one thing in the function and changed one thing in the list. \(y=2\cos(x/4)−1\) Amplitude: 2 Period: \(8\pi\) Phase Shift: 0 Vetical Shift: 1 One more... Don't make me do all the work.
 one year ago

kenneyfamilyBest ResponseYou've already chosen the best response.0
is it 1? i know im sorry @tkhunny
 one year ago

tkhunnyBest ResponseYou've already chosen the best response.1
Seriously, stop apologizing and focus on what you are doing. This is really just a memorization problem. There isn't anything magic about it. \(y = a\cos(b(xc))+d\) Either you know or you don't. Amplitude: a Vertical Shift: d Period: \(2\pi/b\) <== For cosine, anyway. Phase Shift: c Now, work inside that argument, \(x/4 + \pi\), and use the distributive property to factor out 1/4 and you should find the Phase Shift staring at you.
 one year ago

tkhunnyBest ResponseYou've already chosen the best response.1
Is that the answer or are you guessing? \(\dfrac{x}{4} + \pi = \dfrac{1}{4}(x + 4\pi)\)
 one year ago

kenneyfamilyBest ResponseYou've already chosen the best response.0
i was guessing, but its 4pi
 one year ago

kenneyfamilyBest ResponseYou've already chosen the best response.0
thank you so much
 one year ago

tkhunnyBest ResponseYou've already chosen the best response.1
Now, you do another one. You made me do ALL of that one. Encourage me that youcan do it on your own.
 one year ago
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