Transformations Of Quadratic Functions Worksheet
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1
2
3Name: _____________________________________________________________
Date: _________________________
Period: ______
6-3
Chapter 6: Graphing
Topic 3: Transformations of Quadratic Functions
A family of graphs is a group of graphs that displays one or more similar characteristics.
The graph of �� = ��
2
is the parent graph of the family of quadratic functions.
How can the graph of �� = ��
2
be used to graph any quadratic function?
We know standard form:
��
�� = ����
+ ���� + ��
Additionally, any quadratic function can be written in vertex form:
��
�� = �� ( �� − �� )
+ ��
Vertex: (ℎ, ��)
Axis of Symmetry: �� = ℎ
In order to change the equation to vertex form, you must complete the square:
Example: �� = ��
2
+ 6�� + 10
2
��
+ 6�� + 10 = 0
What’s the vertex & the axis of symmetry?
Vertex: ( ℎ, �� ) =
a.o.s.: �� =
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