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Students graph simple quadratic equations of the form y = a(x - h)^2 + k (completed-square or vertex form), recognizing that (h,k) represents the vertex of the graph and use a graph to construct a quadratic equation in vertex form.
Students understand the relationship between the leading coefficient of a quadratic function and its concavity and slope and recognize that an infinite number of quadratic functions share the same vertex.
Teacher and Student versions of full lesson from engageNY
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