10/19 Bell Ringer Step 1: Grab today’s materials Step 2: Get out your homework Step 3: What transformations take place from y = x 2 to the following: 1.

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Presentation transcript:

10/19 Bell Ringer Step 1: Grab today’s materials Step 2: Get out your homework Step 3: What transformations take place from y = x 2 to the following: 1. y = 3x 2 2. y = - ½ x 2 3. y = -7x 2 Homework: Vertical and Horizontal Shift Independent Practice.

10/19 News and Notes Today is much like yesterday, just new transformations This unit is a quick 4-day unit on transformations (movement) of functions. It concludes with a project on Thursday! Quiz Make-ups by TOMORROW: Jahmeelah, Scymone, Jasmin H, Manuel, Ivan, Derrius, Janet, Eduardo

10/19 Agenda I CAN graph y = (x +3) 2, y = x 2 + 3, y = (x – 3) 2 and y = x 2 – 3 in order to make generalization about the affects of h and k transformations 1.Bell Ringer – 10 min 2.Graphing Discovery Activity – 25 min 3.Concluding Questions Review – 5 min 4.ACT Question of the Day – 5 min 5.Grade Check/Raising the Bar – 2 min

What does “discovery” mean? You will work with your elbow partner to complete the prompts on your notes. You will make a mathematical discovery by the end of the day. Mr. C will not tell you anything, just ask you questions to guide your thinking. You will FOLLOW THE STEPS!

Steps to Discovery – Recall PEMDAS!!!! 1. Copy graph of y = x 2 from yesterday onto your coordinate plane. 2. Graph y = (x+3) 2 by completing first table. 3. Graph y = (x – 3) 2 by completing a 2 nd table. PLACE ON SAME COORD. PLANE. Be sure you specify which graph is which (it will help later). 4. Graph y = x by completing a 3 rd. 5. Graph y = x 2 – 3 by completing a 4 th. 6. Answer concluding questions

Concluding Questions Review What changed between y = x 2 and y = (x+3) 2 ? –Translated left 3 units (horizontal shift left 3) What changed between y = x 2 and y = (x – 3) 2 –Translated right 3 units (horizontal shift right 3) Between y = x 2 and y = x 2 + 3? –Translated up 3 units (vertical shift up 3) Between y = x 2 and y = x 2 – 3? –Translated down three units (vertical shift down 3) What are the changes between y = x 2 and y = (x-h) 2 + k when: h is positive?k is positive? h is negative?k is negative?

The Payoff! While this works for the quadratic function, it works the same for ANY FUNCTION!!! Y = 2 x  y = 2 (x+3)  2 x + 3 etc. INSERT 2 EXAMPLES HERE IN NOTES

ACT Question of the Day What changes from y = x 2 to y = (x + 4) 2 – 2 A.4 right, 2 up B.4 right, 2 down C.4 left, 2 down D.2 left, 4 down Homework: Vertical and Horizontal Shift Independent Practice.