This math topic focuses on understanding quadratic discriminants and their graphical representations. It presents problems where learners are given specific values of the discriminant \(\Delta\) of quadratic equations. Students are required to identify which graph corresponds to a quadratic function with the given discriminant, choosing from a set of options. The problems involve analysis of discriminants and their influences on the nature of the quadratic function's graph, such as determining the number and nature of the roots. This set of exercises is an introductory level to quadratic formulas and discriminants.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Quadratic Discriminants - Value to Graph


Which graph shows this a quadratic function with this discriminant?

Δ=12\Delta = 12

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