1 / 9

3.1 Sinusoids

3.1 Sinusoids. Lesson Objective: Iwbat to understand amplitude, period, cycle, & phase displacement of a sinusoid. Guiding Question: What are all the ways we can manipulate a graph?. Sine Parent function: y= sinx. Cosine Parent Function y = cosx.

ayanna
Download Presentation

3.1 Sinusoids

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. 3.1 Sinusoids Lesson Objective: Iwbat to understand amplitude, period, cycle, & phase displacement of a sinusoid.

  2. Guiding Question: What are all the ways we can manipulate a graph? Sine Parent function: y=sinx Cosine Parent Function y = cosx

  3. Guiding Question: What are all the ways we can manipulate a graph? • Recall how to manipulate any function Where a & d manipulate vertically and b & c manipulate horizontally.

  4. Guiding Question: What are all the ways we can manipulate a graph? • Period – how long to go one cycle (horizontal dilation) • Amplitude – how high/low you go. (vertical dilation) • Parent sin/cosfcns • Period: 360 degrees • Amplitude 1 unit

  5. Guiding Question: What are all the ways we can manipulate a graph? • Phase displacement – (horizontal translation) move the graph horizontally by a degree measure

  6. Guiding Question: What are all the ways we can manipulate a graph? • Vertical Translation – Moves the entire graph (sinusoidal axis) up/down

  7. Guiding Question: What are all the ways we can manipulate a graph? • Ways to manipulate a trig function (Cos is same) A = Amplitude (vertical dilation) B = reciprocal of horizontal dilation ( C = Location of sinusoidal axis (vert. translation) D = Phase displacement (horizontal translation)

  8. Guiding Question: What are all the ways we can manipulate a graph? • What do you notice about the period between 1 and 2? • What does #3 do? • What does #4 do? • On a calculator graph. • Y = sin x • Y = sin (4x) • Y = sin (x) + 4 • Y = sin (x – 30)

  9. Guiding Question: What are all the ways we can manipulate a graph? • Assignment: Pg. 95-96 1-9

More Related