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Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable: 1. 2 - 7a = a + 1 - 7 2. -10a + 8a = -10 - 7a - 9 + 4
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Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

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Page 1: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

1

February 26, 2019

Warm-Up 2/25/19

Solve for the variable:

1. 2 - 7a = a + 1 - 7

2. -10a + 8a = -10 - 7a - 9 + 4

Page 2: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

2

February 26, 2019

3. Find the discriminant of

f(x) = x2 - 8x - 23

How many solutions?

What are the solutions?

Page 3: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

3

February 26, 2019

Page 4: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

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February 26, 2019

Page 5: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

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February 26, 2019

2/25/19 Unit 3BDay 1­ Quadratic Transformations (H & K Values)Page 2

Page 6: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

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February 26, 2019

Essential Question 2/25/19

How can the graph of f(x) = x2 move up, down, left, right, stretch, and shrink?

Unit 3B Standards

MGSE9-12.F.BF.3: Identify the effect on the graph of replacing f(x) by f(x) + k, Kf(x), f(kx), and f(x+k) for specific values of k(both positive and negative); find the value of k given the graphs.

Day 1,2

Page 7: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

7

February 26, 2019

What is a Quadratic Function?

Page 8: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

8

February 26, 2019

Vertex Form

Recall the Standard form:

Page 9: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

9

February 26, 2019

Exploring the K-Value

Graph 1

Page 10: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

10

February 26, 2019

K-Value Graph 2

Page 11: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

11

February 26, 2019

K-Value Graph 3

Page 12: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

12

February 26, 2019

Practice - I do/You doPractice: Identify the transformations and vertex from the equations below.

Page 13: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

13

February 26, 2019

Practice - I do/You doPractice: Identify the transformations and vertex from the equations below.

Page 14: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

14

February 26, 2019

Practice - I doDescribe the transformations and name the vertex. Create an equation for the graphs listed below.

Page 15: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

15

February 26, 2019

Practice - You doDescribe the transformations and name the vertex. Create an equation for the graphs listed below.

Page 16: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

16

February 26, 2019

Practice - You doPractice: Given the transformations listed below, create an equation that would represent the transformations.

Page 17: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

17

February 26, 2019

Exploring the H-Value

Graph 1

Page 18: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

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February 26, 2019

H-Value Graph 2

Page 19: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

19

February 26, 2019

H-Value Graph 3

Page 20: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

20

February 26, 2019

Practice - I do/You doPractice: Identify the transformations and vertex from the equations below.

Page 21: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

21

February 26, 2019

Practice - I do/You doPractice: Identify the transformations and vertex from the equations below.

Page 22: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

22

February 26, 2019

Practice - I doDescribe the transformations and name the vertex. Create an equation for the graphs listed below.

Page 23: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

23

February 26, 2019

Practice - I doDescribe the transformations and name the vertex. Create an equation for the graphs listed below.

Page 24: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

24

February 26, 2019

Practice - You doPractice: Given the transformations listed below, create an equation that would represent the transformations.

Page 25: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

25

February 26, 2019

Page 26: Day 1 - QuadraticTransformations H&K Aikhuele Notes.notebook · Day 1 QuadraticTransformations H&K Aikhuele Notes.notebook 1 February 26, 2019 Warm-Up 2/25/19 Solve for the variable:

Day 1 ­ QuadraticTransformations H&K Aikhuele Notes.notebook

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February 26, 2019

Closing: Student-Led