Algebra 2 Quadratics
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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: