MA.912.AR.3

Write, solve and graph quadratic equations, functions and inequalities in one and two variables.

MA.912.AR.3.1Given a mathematical or real-world context, write and solve one-variable quadratic equations over the real number system.MA.912.AR.3.10Given a mathematical or real-world context, graph the solution set to a two-variable quadratic inequality.MA.912.AR.3.2Given a mathematical or real-world context, write and solve one-variable quadratic equations over the real and complex number systems.MA.912.AR.3.3Given a mathematical or real-world context, write and solve one-variable quadratic inequalities over the real number system. Represent solutions algebraically or graphically.MA.912.AR.3.4Write a quadratic function to represent the relationship between two quantities from a graph, a written description or a table of values within a mathematical or real-world context.MA.912.AR.3.5Given the x-intercepts and another point on the graph of a quadratic function, write the equation for the function.MA.912.AR.3.6Given an expression or equation representing a quadratic function, determine the vertex and zeros and interpret them in terms of a real-world context.MA.912.AR.3.7Given a table, equation or written description of a quadratic function, graph that function, and determine and interpret its key features.MA.912.AR.3.8Solve and graph mathematical and real-world problems that are modeled with quadratic functions. Interpret key features and determine constraints in terms of the context.MA.912.AR.3.9Given a mathematical or real-world context, write two-variable quadratic inequalities to represent relationships between quantities from a graph or a written description.
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