Vertex And Standard Form Graphing Page 2
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1
2
3Graphing Quadratic Function Basics
Standard Form
Vertex Form
!
!
�� = ����
+ ���� + ��
�� = ��(�� − ℎ)
+ ��
Axis
o f
S ymmetry:
Axis
o f
S ymmetry:
Vertex:
Vertex:
!
!
Ex:
�� = −2��
+ 8�� + 3
Ex:
�� = 2(�� + 2)
− 5
Key Facts
If
a
>
0 ,
t hen
t he
g raph
_ ____________________________________
If
a
<
0 ,
t hen
t he
g raph
_ ____________________________________
If
a
>
1
o r
i f
a
<
-‐ 1,
t hen
t he
g raph
_ ___________________________
If
-‐ 1
<
a
<
1 ,
t hen
t he
g raph
_ ________________________________
The
c -‐value
r epresents
t he
_ ________________________________
Converting Between Forms
Vertex
t o
S tandard
( FOIL
o r
B OX
m ethod)
!
!
1.
�� = (�� − 1)
+ 2
2.
�� = 2(�� + 2)
− 5
***
S tandard
t o
V ertex
(
Complete
t he
s
quare!)
!
!
1.
�� = ��
− 4�� + 6
2.
�� = ��
− 6�� + 17
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