Transformation Notes

# Transformation Notes - Chp.5. March20,2013 Date...

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Chp. 5.7 ­ Transformations with Quadratic Functions Algebra II 1 March 20, 2013 Date: Chapter: Chapter 5:7 ­­> Transformations with Quadratic Functions Objectives: Write a quadratic function in the form y = a(x ­ h) 2 + k Transform graphs of quadratic functions

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Chp. 5.7 ­ Transformations with Quadratic Functions Algebra II 2 March 20, 2013 Notes: Remember ...... * Family of Graphs = * Parent Graph = * Vertex Form ­­> y = a(x ± h) 2 ± k where (h, k) is the vertex of the parabola, x = h is the axis of symmetry, and a determines the shape and direction. Four Types of Transformations 1) Horizontal (x ­ h) ­­> move right (x + h) ­­> move left 2) Vertical ( ) + k ­­> move up ( ) ­ k ­­> move down 3) Reflection a( ) ­­> opens up ­a( ) ­­> opens down 4) Dilation a > 1 ­­> skinny 0 < a < 1 ­­> fat

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