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1 Wednesday, September 20 Sit in your seat number with the group I have you in. Get your calculator Sep 14 7:45 PM Bell Work Find two numbers that multiply together to get the top number and add to give you the botttom number Good Morning!!! Sep 26 7:34 AM 1

2 Safety Procedures Fire report to practice field on 45 yard line. Go down stairs but out south door. Severe Weather Go to new building room 772 Evacuation Go to main football field. Go into stadium on North side sit on West 45 yard line Sep 19 7:53 AM TAA today Sep 20 9:00 AM 2

3 CHAPTER 4 BIG IDEAS Graphing and writing quadratic functions in several forms Solving quadratic equations using a variety of methods Performing operations with square roots and complex numbers. Sep 14 7:59 PM Section 4-1 Introduction to Quadratic Functions Wednesday, September 20 Objective: Compare graphs of several functions to the graph of y =x 2 Aug 23 1:22 PM 3

4 date Table of Contents title 4 1 Intro to Quadratic functions page # Sep 13 10:45 AM Parabolas Complete Investigation with your group Sep 8 12:16 PM 4

5 Press for Nerdy Norm Story Sep 8 12:20 PM Desmos.com Press to Go To Download free App Sep 18 11:04 AM 5

6 Investigation: Families of Parabolas y = a(x h) 2 + k Graph f(x) = x 2 Graph f(x) = x Graph f(x) = x 2 5 How does the changing the value of k affect the graph? Sep 28 5:20 PM Investigation: Families of Parabolas y = a(x h) 2 + k Graph f(x) = x 2 Graph f(x) = (x + 2) 2 Graph f(x) = (x 4) 2 How does the changing the value of h affect the graph? Sep 28 5:20 PM 6

7 Investigation: Families of Parabolas y = a(x h) 2 + k Graph f(x) = x 2 Graph f(x) = x 2 How does the changing the value of a to a negative affect the graph? Sep 28 5:20 PM Investigation: Families of Parabolas y = a(x h) 2 + k Graph f(x) = x 2 Graph f(x) = 4x 2 1 Graph f(x) = x 2 How does the changing the value of h affect the graph? 4 Sep 28 5:20 PM 7

8 Joke of the day! What runs around a yard without actually moving? A fence. Aug 23 1:32 PM On 3x5 index card answer the following questions: 1) What happens to the parabola when the "a" value is a fraction? 2) Describe what happens to the parabola from the form of y = x 2 is written as y = x Sep 14 8:43 PM 8

9 Parent Function for Quadratic Functions Parent Function is f(x) = x 2 Vertex is the lowest or highest point on a parabola, on the parent function it is (0,0) Axis of Symmetry divides the parabola into mirror images and passes through the vertex. Sep 28 5:15 PM Graph f(x) = x 2 Vertex: Axis of symmetry: Sep 28 5:20 PM 9

10 Properties of standard form of y = ax 2 +bx + c The graph is a parabola. Sep 28 5:22 PM Properties of standard form of y = ax 2 +bx + c The graph is a parabola. If a > 0, the graph opens up. If a < 0, the graph opens down. Sep 28 5:22 PM 10

11 Properties of standard form of y = ax 2 +bx + c The graph is a parabola. If a > 0, the graph opens up. If a < 0, the graph opens down. The y intercept is (0,c). The axis of symmetry is Sep 28 5:22 PM Properties of standard form of y = ax 2 +bx + c The vertex is a minimum if the graph opens up. The vertex is a maximum if the graph opens down. Sep 28 5:22 PM 11

12 Properties of standard form of y = ax 2 +bx + c The vertex is a minimum if the graph opens up. The vertex is a maximum if the graph opens down. The graph is narrower if a > 1. The graph is wider if a < 1. Sep 28 5:22 PM Properties of standard form of y = ax 2 +bx + c The vertex is a minimum if the graph opens up. The vertex is a maximum if the graph opens down. The graph is narrower if a > 1. The graph is wider if a < 1. The vertex has an x value determined by: Sep 28 5:22 PM 12

13 ` Graph y = 2x 2 8x + 6 vertex : Axis of symmetry : y intercept: max or min: max or min value: Sep 28 5:28 PM ` Graph y = 2x 2 + 6x + 3 vertex : Axis of symmetry : y intercept: max or min: max or min value: Sep 28 5:28 PM 13

14 ` Assignment: Worksheet Sep 25 10:08 AM 1. y = 3x a. opens up or down b. vertex: c. axis of symmetry: Sep 26 11:02 AM 14

15 Sep 26 11:04 AM 15

16 Attachments ParabolaStoryNerdyNorm[1].ppt TAA Sept 20.notebook

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