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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
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
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
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.
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
5
November 25, 2017
Nov 41:54 PM
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
6
November 25, 2017
Nov 411:05 AM
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
7
November 25, 2017
Nov 43:43 PM
EXAMPLE 1
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.
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
9
November 25, 2017
Nov 43:44 PM
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
10
November 25, 2017
Nov 43:44 PM
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
11
November 25, 2017
Nov 43:44 PM
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
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
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
14
November 25, 2017
Nov 44:34 PM
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
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
16
November 25, 2017
Nov 45:18 PM
EXAMPLE 2
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.
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
18
November 25, 2017
Nov 56:54 AM
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
19
November 25, 2017
Nov 56:57 AM
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
20
November 25, 2017
Nov 56:58 AM
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
21
November 25, 2017
Nov 57:02 AM
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
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
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
24
November 25, 2017
Nov 57:18 AM
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
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
26
November 25, 2017
Nov 57:41 AM
EXAMPLE 3
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.
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
28
November 25, 2017
Nov 59:06 AM
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
29
November 25, 2017
Nov 59:12 AM
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
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November 25, 2017
Nov 59:13 AM
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
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
Graphing Quadratic Equations or Functions in the form (y = ax^2 + bx + c).notebook
33
November 25, 2017
Nov 59:32 AM
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