A1.QFE

Quadratic Functions & Equations

A1.QFE.1Represent and solve real-world problems using quadratic expressions and equations in one variable.A1.QFE.10Graph quadratic functions given as an equation or in function notation, labeling key attributes, without technology.A1.QFE.11Graph and describe the effect of transformations on quadratic functions. Transformations include: stretches, compressions, vertical, and horizontalA1.QFE.12Given the graph of a quadratic function, explain the effects of the transformation from the parent function, 𝑦=𝑥^2.A1.QFE.13Write quadratic functions that provide a reasonable fit to data and use them to make predictions with technology.A1.QFE.2Write quadratic equations with real number solutions that model the relationship between two quantities and produce a graph of the equation.A1.QFE.3Solve quadratic equations with real number solutions, containing one variable, including those with variables on both sides of the equal sign. Equations should be solved by:A1.QFE.4Determine the domain and range of quadratic functions in mathematical problems.A1.QFE.5Determine reasonable domain and range values of quadratic functions representing real-world situations, both continuous and discrete; interpret the solution as reasonable or unreasonable in context.A1.QFE.6Interpret the key features of a quadratic function that models a relationship between two quantities in a given context.A1.QFE.7Flexibly use different representations of a quadratic function, including graphs, tables, and equations.A1.QFE.8Explain how each form of a quadratic expression (standard, factored, and vertex form) identifies different key attributes, using the different forms to interpret quantities in context.A1.QFE.9Use factoring and completing the square to create equivalent forms of quadratic functions to reveal key attributes.
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