One, two, or zero solutions—quadratic systems have a variety of solution possibilities. Using the parent function and the standard form of the function, learners describe the values of a, b, and c that produce each solution type. They include an example to justify their answers.

Concepts

quadratic functions, systems of equations, intersection, graphing quadratics

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Additional Tags

math

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Instructional Ideas

• Incorporate as an exploration of graphs of quadratic functions 
• Have pupils write a summary of the impact the coefficients of a quadratic function have on the graph

Classroom Considerations

• Expects proficiency with graphing quadratic functions

Pros

• Presents a unique way to consider the graphs of quadratic functions
• Requires the use of higher-order thinking strategies

Cons

• None

Common Core

HSF-IF.B.4