1019 Bell Ringer Step 1 Grab todays materials

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 = 3 x 2 2. y = - ½ x 2 3. y = -7 x 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 • 1. 2. 3. 4. 5. 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 Bell Ringer – 10 min Graphing Discovery Activity – 25 min Concluding Questions Review – 5 min ACT Question of the Day – 5 min 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 2 + 3 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? h is negative? k is positive? 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. B. C. D. 4 right, 2 up 4 right, 2 down 4 left, 2 down 2 left, 4 down Homework: Vertical and Horizontal Shift Independent Practice.