1 / 16

Finding the equation of a sine or cosine curve from the graph

Finding the equation of a sine or cosine curve from the graph. How to find each value…. a is the amplitude. (Max – Min) / 2 b is found by 2π / Period c is the horizontal translation of the curve.

roza
Télécharger la présentation

Finding the equation of a sine or cosine curve from the graph

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Finding the equation of a sine or cosine curve from the graph

  2. How to find each value… • a is the amplitude. (Max – Min) / 2 • b is found by 2π / Period • c is the horizontal translation of the curve. • d is the vertical translation of the curve. It is the same as the value of the principle axis; (Max + Min) / 2

  3. Example 1 Write the curve above in the form: b a c d

  4. Example 1 6 Amplitude =(Max – Min) /2 = (13 – 7) / 2 = 3 b a c d

  5. Example 1 6 b = 2π / Period = 2π / (7 – 1) = π / 3 b c d

  6. Example 1 c = horizontal translation = 1 c d

  7. Example 1 d= vertical translation = 10 d

  8. Now try these…

  9. And these…

  10. Write the curve above in the form: b a d c

  11. 10 Amplitude =(Max – Min) /2 = (9 – -1) / 2 = 5 b a d c

  12. 4 b = 2π / Period = 2π / (5 – 1) = π / 2 b d c

  13. c = horizontal translation = 1 d c

  14. d= vertical translation to the principal axis = 4 d

More Related