Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

moongazer Group Title

In graphing trigonometric functions why is it the phase shift of y = a sin b(x+c) + d . when c < 0 is to the right and when c > 0 is to the left ?? also for other trigo functions

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    to allow us to determine this from the origin

    • 2 years ago
  2. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    |dw:1345902565889:dw|

    • 2 years ago
  3. phi Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    the same reason that f(x-1) is shifted to the right. When x is 0, you plot a value taken from the function to the left of zero. You have "moved the point on the left to the right"

    • 2 years ago
  4. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    does this make sense?

    • 2 years ago
  5. moongazer Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I'm still trying to understand it :)

    • 2 years ago
  6. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    evaluating things that are at the origin, is by far simpler than trying to evaluate them at a distance.

    • 2 years ago
  7. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    since moving an object doesnt change its inherent structure; we move it to the origin to study it

    • 2 years ago
  8. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    we account for the movement in the equation such that if we move the center to the origin; all the points related to the function move in the same manner

    • 2 years ago
  9. moongazer Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I think I understood it now with the explanation of phi.

    • 2 years ago
  10. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    if we want to study a parabola: y = (x)^2 ; such that the vertex is x = 5, y=3 it is better to study this when the vertex is at the origin so we move it by -5, -3 to get it to (0,0) y-3 = (x-5)^2 y = (x-5)^2 + 3

    • 2 years ago
  11. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    if x is out of phase by a factor of "c" then we need to adjust this thing back into place with (x-c)

    • 2 years ago
  12. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    i think factor is a bad term there, but you know .....

    • 2 years ago
  13. moongazer Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    That's what I am thinking with this sine graph |dw:1345904532767:dw| you need to subtract pi/3 to make it to the origin

    • 2 years ago
  14. moongazer Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I think what you said: "then we need to adjust this thing back into place with (x-c)" explains it

    • 2 years ago
  15. moongazer Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    could you also explain why |a| is the amplitude and d is the vertical shift?

    • 2 years ago
  16. moongazer Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I'm just curious how does that work :)

    • 2 years ago
  17. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    when u write y=a sin (b(x+c)) the maximum value of y is |a| because the maximum value of sine function is |1| and the amplitude is the maximum value a function can take....

    • 2 years ago
  18. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    now consider the equation y-d=a sin (b(x+c)) this means that all the points with y-coordinate y has now the y coordinate of y-d this is a vertical shift of the entire function if d is positive, the entire function shifts down by d units and if d is negative the entire function shifts up by d units

    • 2 years ago
  19. hartnn Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    i hope u got this @moongazer

    • 2 years ago
  20. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    a is a scalar factor that affects the slope of this thing at any given point. if we take the sine wave, it only has values from -1 to 1, the "a" part manipulates the slope at every given point to change how high or low the sin function can reach

    • 2 years ago
  21. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    sin(90) = 1; but lets say the original function is such that sin(90) = 3; multiply both sides by 3 3 sin(90) = 3

    • 2 years ago
  22. amistre64 Group Title
    Best Response
    You've already chosen the best response.
    Medals 3

    hartnn looks to have explained that well

    • 2 years ago
  23. moongazer Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Thanks for the answers. I agree that hartnn explained it well. :)

    • 2 years ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.