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9 DH Features of Quadratic Graphs day 2 A5.notebook 1 October 20, 2014 Sep 275:22 PM Starter

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Page 1: October 20, 2014hansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/9_d-h_featur… · 9 DH Features of Quadratic Graphs day 2 A5.notebook 9 October 20, 2014 Sep 243:30 PM intercept

9 D­H Features of Quadratic Graphs ­ day 2 ­A5.notebook

1

October 20, 2014

Sep 27­5:22 PM

Starter

Page 2: October 20, 2014hansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/9_d-h_featur… · 9 DH Features of Quadratic Graphs day 2 A5.notebook 9 October 20, 2014 Sep 243:30 PM intercept

9 D­H Features of Quadratic Graphs ­ day 2 ­A5.notebook

2

October 20, 2014

Oct 14­11:37 AM

Page 3: October 20, 2014hansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/9_d-h_featur… · 9 DH Features of Quadratic Graphs day 2 A5.notebook 9 October 20, 2014 Sep 243:30 PM intercept

9 D­H Features of Quadratic Graphs ­ day 2 ­A5.notebook

3

October 20, 2014

Sep 27­7:51 PM

Page 4: October 20, 2014hansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/9_d-h_featur… · 9 DH Features of Quadratic Graphs day 2 A5.notebook 9 October 20, 2014 Sep 243:30 PM intercept

9 D­H Features of Quadratic Graphs ­ day 2 ­A5.notebook

4

October 20, 2014

Sep 27­7:54 PM

Fun facts:

Page 5: October 20, 2014hansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/9_d-h_featur… · 9 DH Features of Quadratic Graphs day 2 A5.notebook 9 October 20, 2014 Sep 243:30 PM intercept

9 D­H Features of Quadratic Graphs ­ day 2 ­A5.notebook

5

October 20, 2014

Sep 24­3:30 PM

Graphing Quadratics ­ without a table*okay, with only a few points on the table

standard form How to find the vertex:  

or

exampleFind the vertex of the graph without graphing.

Page 6: October 20, 2014hansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/9_d-h_featur… · 9 DH Features of Quadratic Graphs day 2 A5.notebook 9 October 20, 2014 Sep 243:30 PM intercept

9 D­H Features of Quadratic Graphs ­ day 2 ­A5.notebook

6

October 20, 2014

Sep 24­3:45 PM

Graph

Page 7: October 20, 2014hansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/9_d-h_featur… · 9 DH Features of Quadratic Graphs day 2 A5.notebook 9 October 20, 2014 Sep 243:30 PM intercept

9 D­H Features of Quadratic Graphs ­ day 2 ­A5.notebook

7

October 20, 2014

Sep 24­3:30 PM

vertex formThe vertex is (h, k)

Find the vertex of the graph without graphing.examples:

Page 8: October 20, 2014hansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/9_d-h_featur… · 9 DH Features of Quadratic Graphs day 2 A5.notebook 9 October 20, 2014 Sep 243:30 PM intercept

9 D­H Features of Quadratic Graphs ­ day 2 ­A5.notebook

8

October 20, 2014

Sep 24­3:45 PM

Graph

Page 9: October 20, 2014hansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/9_d-h_featur… · 9 DH Features of Quadratic Graphs day 2 A5.notebook 9 October 20, 2014 Sep 243:30 PM intercept

9 D­H Features of Quadratic Graphs ­ day 2 ­A5.notebook

9

October 20, 2014

Sep 24­3:30 PM

intercept (factored) form

Find the vertex of the graph without graphing.

examples:

The x‐intercepts of the graph are p and q

The vertex of the graph lies on the line of symmetry, half way between the x‐intercepts p and q.

Page 10: October 20, 2014hansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/9_d-h_featur… · 9 DH Features of Quadratic Graphs day 2 A5.notebook 9 October 20, 2014 Sep 243:30 PM intercept

9 D­H Features of Quadratic Graphs ­ day 2 ­A5.notebook

10

October 20, 2014

Sep 24­3:45 PM

Graph

y = 2(x + 4)(x – 3)

Page 11: October 20, 2014hansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/9_d-h_featur… · 9 DH Features of Quadratic Graphs day 2 A5.notebook 9 October 20, 2014 Sep 243:30 PM intercept

9 D­H Features of Quadratic Graphs ­ day 2 ­A5.notebook

11

October 20, 2014

Oct 1­11:14 AM

Graphing quadratics using technology

Page 12: October 20, 2014hansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/9_d-h_featur… · 9 DH Features of Quadratic Graphs day 2 A5.notebook 9 October 20, 2014 Sep 243:30 PM intercept

9 D­H Features of Quadratic Graphs ­ day 2 ­A5.notebook

12

October 20, 2014

Sep 24­12:31 PM

Page 13: October 20, 2014hansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/9_d-h_featur… · 9 DH Features of Quadratic Graphs day 2 A5.notebook 9 October 20, 2014 Sep 243:30 PM intercept

9 D­H Features of Quadratic Graphs ­ day 2 ­A5.notebook

13

October 20, 2014

Oct 1­11:15 AM

At the y­intercept,   x = 0

At the x­intercept(s),   y = 0

Page 14: October 20, 2014hansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/9_d-h_featur… · 9 DH Features of Quadratic Graphs day 2 A5.notebook 9 October 20, 2014 Sep 243:30 PM intercept

9 D­H Features of Quadratic Graphs ­ day 2 ­A5.notebook

14

October 20, 2014

Oct 1­11:20 AM

Find the x and y intercepts of the following equations.

Page 15: October 20, 2014hansenmathhhs.weebly.com/uploads/2/3/3/3/23338964/9_d-h_featur… · 9 DH Features of Quadratic Graphs day 2 A5.notebook 9 October 20, 2014 Sep 243:30 PM intercept

9 D­H Features of Quadratic Graphs ­ day 2 ­A5.notebook

15

October 20, 2014

Oct 1­11:23 AM

Assignment:

Exercises 9 E  # 79 F # 3

      6 a­b   8

9G.5 # 1 d­f9G.7 # 39H.1  # 1 a­c9H.3  # 1 a­c