![Page 1: Graphing Quadratic Equations or Functions in the form (y ... Graphing Quadratic...Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook 8 November 25,](https://reader030.vdocument.in/reader030/viewer/2022040100/5e638b3753c3157554225d75/html5/thumbnails/1.jpg)
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
1
November 25, 2017
Nov 1911:01 AM
Graphing Quadratic
Equations or Functions
in the form :
or
![Page 2: Graphing Quadratic Equations or Functions in the form (y ... Graphing Quadratic...Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook 8 November 25,](https://reader030.vdocument.in/reader030/viewer/2022040100/5e638b3753c3157554225d75/html5/thumbnails/2.jpg)
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
2
November 25, 2017
Nov 411:04 AM
y
xxinterceptxintercept
yinterceptvertex
axis ofsymmetry
![Page 3: Graphing Quadratic Equations or Functions in the form (y ... Graphing Quadratic...Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook 8 November 25,](https://reader030.vdocument.in/reader030/viewer/2022040100/5e638b3753c3157554225d75/html5/thumbnails/3.jpg)
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
3
November 25, 2017
Nov 411:05 AM
y
xxinterceptxintercept
yinterceptvertex
axis ofsymmetry
![Page 4: Graphing Quadratic Equations or Functions in the form (y ... Graphing Quadratic...Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook 8 November 25,](https://reader030.vdocument.in/reader030/viewer/2022040100/5e638b3753c3157554225d75/html5/thumbnails/4.jpg)
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
4
November 25, 2017
Nov 411:05 AM
To find the ycoordinate of the vertex, substitute the xcoordinateof the vertex into the equation, and simplify.
![Page 5: Graphing Quadratic Equations or Functions in the form (y ... Graphing Quadratic...Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook 8 November 25,](https://reader030.vdocument.in/reader030/viewer/2022040100/5e638b3753c3157554225d75/html5/thumbnails/5.jpg)
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
5
November 25, 2017
Nov 41:54 PM
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
6
November 25, 2017
Nov 411:05 AM
![Page 7: Graphing Quadratic Equations or Functions in the form (y ... Graphing Quadratic...Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook 8 November 25,](https://reader030.vdocument.in/reader030/viewer/2022040100/5e638b3753c3157554225d75/html5/thumbnails/7.jpg)
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
7
November 25, 2017
Nov 43:43 PM
EXAMPLE 1
![Page 8: Graphing Quadratic Equations or Functions in the form (y ... Graphing Quadratic...Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook 8 November 25,](https://reader030.vdocument.in/reader030/viewer/2022040100/5e638b3753c3157554225d75/html5/thumbnails/8.jpg)
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
8
November 25, 2017
Nov 43:44 PM
To find the ycoordinate of the vertex, substitute the xcoordinate of the vertex into the equation, and simplify.
![Page 9: Graphing Quadratic Equations or Functions in the form (y ... Graphing Quadratic...Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook 8 November 25,](https://reader030.vdocument.in/reader030/viewer/2022040100/5e638b3753c3157554225d75/html5/thumbnails/9.jpg)
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
9
November 25, 2017
Nov 43:44 PM
![Page 10: Graphing Quadratic Equations or Functions in the form (y ... Graphing Quadratic...Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook 8 November 25,](https://reader030.vdocument.in/reader030/viewer/2022040100/5e638b3753c3157554225d75/html5/thumbnails/10.jpg)
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
10
November 25, 2017
Nov 43:44 PM
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
11
November 25, 2017
Nov 43:44 PM
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
12
November 25, 2017
Nov 44:41 PM
7
71
16
y
3
x
![Page 13: Graphing Quadratic Equations or Functions in the form (y ... Graphing Quadratic...Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook 8 November 25,](https://reader030.vdocument.in/reader030/viewer/2022040100/5e638b3753c3157554225d75/html5/thumbnails/13.jpg)
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
13
November 25, 2017
Nov 45:17 PM
Connect the ordered pairs with
Ushaped curve.a smooth
7
71
16
y
x3
![Page 14: Graphing Quadratic Equations or Functions in the form (y ... Graphing Quadratic...Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook 8 November 25,](https://reader030.vdocument.in/reader030/viewer/2022040100/5e638b3753c3157554225d75/html5/thumbnails/14.jpg)
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
14
November 25, 2017
Nov 44:34 PM
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
15
November 25, 2017
Nov 44:52 PM
axis of symmetry
7
71
16
y
x3
![Page 16: Graphing Quadratic Equations or Functions in the form (y ... Graphing Quadratic...Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook 8 November 25,](https://reader030.vdocument.in/reader030/viewer/2022040100/5e638b3753c3157554225d75/html5/thumbnails/16.jpg)
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
16
November 25, 2017
Nov 45:18 PM
EXAMPLE 2
![Page 17: Graphing Quadratic Equations or Functions in the form (y ... Graphing Quadratic...Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook 8 November 25,](https://reader030.vdocument.in/reader030/viewer/2022040100/5e638b3753c3157554225d75/html5/thumbnails/17.jpg)
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
17
November 25, 2017
Nov 56:52 AM
To find the ycoordinate of the vertex, substitute the xcoordinate of the vertex into the equation, and simplify.
![Page 18: Graphing Quadratic Equations or Functions in the form (y ... Graphing Quadratic...Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook 8 November 25,](https://reader030.vdocument.in/reader030/viewer/2022040100/5e638b3753c3157554225d75/html5/thumbnails/18.jpg)
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
18
November 25, 2017
Nov 56:54 AM
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
19
November 25, 2017
Nov 56:57 AM
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
20
November 25, 2017
Nov 56:58 AM
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
21
November 25, 2017
Nov 57:02 AM
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
22
November 25, 2017
Nov 57:10 AM
43
3
5
1 2
y
x
![Page 23: Graphing Quadratic Equations or Functions in the form (y ... Graphing Quadratic...Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook 8 November 25,](https://reader030.vdocument.in/reader030/viewer/2022040100/5e638b3753c3157554225d75/html5/thumbnails/23.jpg)
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
23
November 25, 2017
Nov 57:12 AM
Connect the ordered pairs with
Ushaped curve.a smooth
43
3
5
1 2
y
![Page 24: Graphing Quadratic Equations or Functions in the form (y ... Graphing Quadratic...Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook 8 November 25,](https://reader030.vdocument.in/reader030/viewer/2022040100/5e638b3753c3157554225d75/html5/thumbnails/24.jpg)
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
24
November 25, 2017
Nov 57:18 AM
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
25
November 25, 2017
Nov 57:32 AM
43
3
5
1 2
y
axis of symmetry
![Page 26: Graphing Quadratic Equations or Functions in the form (y ... Graphing Quadratic...Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook 8 November 25,](https://reader030.vdocument.in/reader030/viewer/2022040100/5e638b3753c3157554225d75/html5/thumbnails/26.jpg)
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
26
November 25, 2017
Nov 57:41 AM
EXAMPLE 3
![Page 27: Graphing Quadratic Equations or Functions in the form (y ... Graphing Quadratic...Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook 8 November 25,](https://reader030.vdocument.in/reader030/viewer/2022040100/5e638b3753c3157554225d75/html5/thumbnails/27.jpg)
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
27
November 25, 2017
Nov 57:42 AM
To find the ycoordinate of the vertex, substitute the xcoordinate of the vertex into the equation, and simplify.
![Page 28: Graphing Quadratic Equations or Functions in the form (y ... Graphing Quadratic...Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook 8 November 25,](https://reader030.vdocument.in/reader030/viewer/2022040100/5e638b3753c3157554225d75/html5/thumbnails/28.jpg)
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
28
November 25, 2017
Nov 59:06 AM
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
29
November 25, 2017
Nov 59:12 AM
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
30
November 25, 2017
Nov 59:13 AM
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
31
November 25, 2017
Nov 59:16 AM
43
4
1 2
y
4 12
7
![Page 32: Graphing Quadratic Equations or Functions in the form (y ... Graphing Quadratic...Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook 8 November 25,](https://reader030.vdocument.in/reader030/viewer/2022040100/5e638b3753c3157554225d75/html5/thumbnails/32.jpg)
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
32
November 25, 2017
Nov 59:16 AM
43
4
1 2
y
4 12
7
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
33
November 25, 2017
Nov 59:32 AM
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Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
34
November 25, 2017
Nov 52:12 PM
axis of symmetry
43
4
1 2
y
4 12
7