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Section 3-2: Analyzing Families of Graphs A family of graphs is a group of graphs that displays one or more similar characteristics. A parent graph is.

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Presentation on theme: "Section 3-2: Analyzing Families of Graphs A family of graphs is a group of graphs that displays one or more similar characteristics. A parent graph is."— Presentation transcript:

1 Section 3-2: Analyzing Families of Graphs A family of graphs is a group of graphs that displays one or more similar characteristics. A parent graph is a basic graph that can be transformed to create the other members in the family.

2 Section 3-2: Analyzing Families of Graphs A line reflection flips a graph over a line called the axis of symmetry. The shifting of a graph either vertically or horizontally is called a translation. A dilation is a stretching or compressing of a graph.

3 Section 3-2: Analyzing Families of Graphs In general, for a function y = f(x), the following are true when a > 0 …

4 Section 3-2: Analyzing Families of Graphs In general, for a function y = f(x), the following are true when a > 0 …

5 Section 3-2: Analyzing Families of Graphs In general, for a function y = f(x), the following are true when a > 0 …

6 Section 3-2: Analyzing Families of Graphs

7 Example: Describe the transformations that have taken place in each of the related graphs:


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