Chapter 3: The
nature of Graphs
Section 3-2: Families of
Graphs
Parent Graphs-”Mom and Dad”
A parent graph is the basic graph that is
transformed to create other members (children)
in a family of graphs.
A mom absolute value function y = x
and a
dad absolute value function y = - x
will
produce ONLY absolute value children. The
children are all transformations of either mom or
dad. Example y = x + 3 − 4 .
All of the graphs of absolute value functions
have similar characteristics. They are all V
shaped.
Families of Graphs
Reflections and translations
A transformed graph may appear in a
different location on the graph, but it will
resemble the parent graph.
It is much easier to do transformations of a
function if the parent graph is known.
Relationships in families of graphs
Dilations
A dilation of a graph means that you expand
it or compress it.
HW # 17
Section 3-2
Pp. 142-145
#6,7,9,13,15,17,21,23,48,50
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