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Lesson Plan

Describe the graph of a given quadratic function in vertex form by using knowledge of transformations

teaches Common Core State Standards CCSS.Math.Content.HSA-CED.A.1
teaches Common Core State Standards CCSS.Math.Content.HSF-BF.B.3
teaches Common Core State Standards CCSS.Math.Practice.MP1
teaches Common Core State Standards CCSS.Math.Practice.MP2
teaches Common Core State Standards CCSS.Math.Practice.MP7

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Big Ideas: The graph of any quadratic function is a transformation of the parent function f(x) =x2. Understand that (h,k) is a specific location on the parabola defined as the vertex. Understand that changes in h will shift the parabola left or right. Understand that changes in k will shift the parabola up or down. This lesson is a continuation of the exploration of the quadratic function. Students will explore translations and transformations using the vertex form of the quadratic equation. Students will use graphs and words to be able to describe how all quadratic functions are related to the parent function. Vocabulary: parabola, function, quadratic function, vertex form, axis of symmetry, vertex of the parabola, minimum value, maximum value Special Materials: Graphing Calculators (optional) Tablets (optional)
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