Nemo = Jackson
Why are you switching names? Didn't you understand what bobpursley posted for you earlier?
Identify the amplitude, period, phase shift and vertical shift when appropriate.
1. y=sin(x+pi/2)
2. y=sin (x -pi) – 2
3. y=1/2cos(2x)
4. y=2sin(2x+pi)-3
5 answers
Y=Amplitide* sinorCos (x+phaseShift) + vertical shift is standard form.
i changed names because im afraid to ask again. im so confused on this class and my teacher doesnt have time to help me and they are different problems. i dont know how to do anything for math because all that is given is the assignments and then we are on our own to figure it out. im sorry i just need to get all ten assignments done before friday and now im just desperate. i was afraid someone was going to get mad at me.
all you need to work these is to recall that
sin(ax) has period 2π/a
sin(x-b) has a phase shift of b to the right.
so, sin(ax-b) = sin(a(x - b/a)) has period 2π/a and a phase shift of b/a
y = f(x)+k has a vertical shift of +k
So,
1. y=sin(x+pi/2)
amplitude: 1
period: 2pi
phase shift: -pi/2
vertical shift: 0
2. y=sin (x -pi) – 2
amplitude: 1
period: 2pi
phase shift: pi
vertical shift: -2
3. y=1/2cos(2x)
amplitude: 1/2
period: 2pi/2 = pi
phase shift: 0
vertical shift: 0
4. y=2sin(2x+pi)-3
amplitude: 2
period: pi
phase shift: -pi/2
vertical shift: -3
sin(ax) has period 2π/a
sin(x-b) has a phase shift of b to the right.
so, sin(ax-b) = sin(a(x - b/a)) has period 2π/a and a phase shift of b/a
y = f(x)+k has a vertical shift of +k
So,
1. y=sin(x+pi/2)
amplitude: 1
period: 2pi
phase shift: -pi/2
vertical shift: 0
2. y=sin (x -pi) – 2
amplitude: 1
period: 2pi
phase shift: pi
vertical shift: -2
3. y=1/2cos(2x)
amplitude: 1/2
period: 2pi/2 = pi
phase shift: 0
vertical shift: 0
4. y=2sin(2x+pi)-3
amplitude: 2
period: pi
phase shift: -pi/2
vertical shift: -3
No one will get mad. Just pick one name and keep it. Then you'll be able to find your other posts just by clicking on your name. In addition, the tutors will be able to help you better if they can see what you have asked before and where you run into trouble.
In addition to bob's and oobleck's replies, be sure to make good use of https://www.khanacademy.org/ -- just scroll down until you find the type of math (or any other subject) you need help with.
In addition to bob's and oobleck's replies, be sure to make good use of https://www.khanacademy.org/ -- just scroll down until you find the type of math (or any other subject) you need help with.
3 answers