Standard Form To Vertex Form Worksheet

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Algebra 2 Quadratics
Name________________________________Per______Date________________________
Standard Form to Vertex Form
��
The following function is in standard form: �� = ��
+ ������ + ����.
To change it to vertex form you can:
2
2
+ 12�� + ____ = ( �� + ___ )
a) Complete the square: ��
��
b) Use the formula �� = −
to find the x-value of the vertex
2��
For each problem below find the vertex AND rewrite the equation in vertex form.
1.
2.
3.
2
2
2
y
x
6
x
7
y
x
8
x
9
y
x
11
x
18
vertex:
vertex:
vertex:
vertex form:
vertex form:
vertex form:
 x
4.
5.
6.
2
2
2
y
x
11
x
24
y
36
y
x
2
x
5
vertex:
vertex:
vertex:
vertex form:
vertex form:
vertex form:
7.
8.
9.
2
2
2
y
3
x
x
10
y
3
x
6
x
7
y
6
x
17
x
14
vertex:
vertex:
vertex:
vertex form:
vertex form:
vertex form:

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