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Quadratic Functions: An Algebra I Unit
Connections to Standards
North Carolina Standard Course of Study
Algebra 1 4.02 Graph, factor, and evaluate quadratic functions to solve problems.
Algebra: High school students should have substantial experience in exploring the properties of different classes of functions. For instance, they should learn that the function f(x) = x2 – 2x – 3 is quadratic, that its graph is a parabola, and that the graph opens "up" because the leading coefficient is positive. They should also learn that some quadratic equations do not have real roots and that this characteristic corresponds to the fact that their graphs do not cross the x-axis. And they should be able to identify the complex roots of such quadratics.