Unit 3 Functions.

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Presentation transcript:

Unit 3 Functions

4.5 Graph Transformation

Group Work: Exploration: Fill in tables and sketch the graphs for your handout

Graph Transformation Key – memorize the points Dilations Cause the graph to be “fatter” or “flatter” Reflections Across x/y axis Translations Moving the graph left/right or up/down

A – Reflections/Dilations x-axis: h(x) = -f(x) – very common y-axis: h(x) = f(-x) – uncommon Dilations y = cf(x) Multiply all y coordinates by c (takes care of dilations and x-axis reflections

B - Translations f(x) ± c +c up -c down f(x ± c) +c left -c right

Graph Transformation: ?

Graph Transformation: ? ?

Describe the translation/sketch the graph:

And even more fun:

Homework Page 256: 2 – 8 even, 17-31 odd, 26, 30