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Transformations of Quadratic Functions Section 2.1 beginning on page 48.
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The Big Ideas In this section we will learn about…. Describing transformations of quadratic functions (extension of section 1.2) o Translations (horizontal and vertical) o Reflections (in the x-axis and the y-axis) o Stretches and Shrinks (horizontal and vertical) Writing transformations of quadratic functions. o NEW: Writing transformed quadratic functions in vertex form. o Writing transformed quadratic functions, applying transformations one at a time. (extension of section 1.2)
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Core Vocabulary Previously Learned: Transformations New Vocabulary: Quadratic Function Parabola Vertex of a Parabola Vertex Form
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Quadratic Functions (Why can’t a=0 ? )
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Translations
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Reflections
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Stretches and Shrinks
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Transformations of Quadratic Functions
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Vertex Form ** This is new and important, put this in your notes **
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Writing a Transformed Quadratic Function This is a new technique This is a previously learned technique
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Review: Method 2
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New: Method 1
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Writing a Transformed Quadratic Function Lets work this step out
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Modeling With Mathematics How can we move this curve to make the water hit the ground further away? Which of the two options must we use here? Why?
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Practice
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