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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

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10/21 Bell Ringer

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  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).

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