1 / 7

10/21 Bell Ringer

10/21 Bell Ringer. TODAY IS PROJECT DAY ! Step 1 : Grab a calculator and today’s notes Step 2 : Get your homework out Step 3 : Identify transformation that takes place from the general equation f(x) = x 2 to: f(x) = 3(x – 3) 2 + 2 f(x) = - ½(x + 2) 2 – 4

shauna
Download Presentation

10/21 Bell Ringer

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. 10/21 Bell Ringer TODAY IS PROJECT DAY! Step 1: Grab a calculator and today’s notes Step 2: Get your homework out Step 3: Identify transformation that takes place from the general equation f(x) = x2 to: f(x) = 3(x – 3)2 + 2 f(x) = - ½(x + 2)2 – 4 HOMEWORK: Finish Project Part 1!

  2. 10/21 News and Notes • Last call for inverse quizzes: Jahmeelah, Manuel, Eduardo • Today is the last day of new material for transformations, we will be working on a project today and Monday, and a Quest on Tuesday. • Hand in Bell Ringers! Golden Tickets!

  3. 10/21 Agenda • I CAN complete function transformation project. • Bell Ringer • 1 Example that ties it all together • Project

  4. f(x) = a(x – h)2 + k Write the equation for a quadratic function that has been reflected over the x-axis, stretched by 3, translated to the right by 2, and translated up 6. • What does reflection tell us? • Negative out front. • What does a stretch or shrink tell us? • a = 3. • What does a left/right movement tell us? • h! To the right we have x – h, so x – 3. • What does a up/down movement tell us? • k! To the up since we have + 6. • So our entire transformation takes f(x) = x2 and makes it f(x) = -3(x – 3) + 6

  5. Project Explained • This is Part 1 of the project. You will hand this in on Monday, but there is a checkpoint at the end of today’s class. • In order to earn a stamp you must work diligently all class period. • Purpose of project: Get used to graphing quadratic functions based after transformations.

  6. Steps to completion • Step 1: Draw a coordinate plane ( min and max values = -10 and 10). • Step 2: Graph f(x) = x2. This will be your general equation (use your calc to get points) • Step 3: Now graph f(x) = ½ (x – 2)2 + 3 by transforming f(x) = x2. BIG HINT: Use TABLE key on calculator. • Step 4: Below your graph, write the equation of the quadratic function that is reflected over the x-axis, translated 2 units left and 4 units down. • Step 5: Now graph the function from step 4. Hint: TRACE button. • Step 6: Describe a transformation of your own and write the equation (do both below the graph). • Step 7: Graph the transformation that you came up with. • Step 8: Specify which curve is which by coloring each and writing the equation right next to the curve. • Step 9: Make it wall-worthy!!!!

  7. Homework • Complete Part 1 of the Project! If you need a calculator over the weekend you can check one out after 8th Period (just swing by room 215 approx. 5 minutes after school to fill out the paperwork and receive your calculator).

More Related