This math topic centers on determining whether quadratic functions, as demonstrated through various graphs, have real roots or not. It focuses particularly on the concept of the discriminant, derived from the quadratic formula, which dictates the nature of the roots based on its value. The topic progresses through various questions that prompt learners to analyze graphs to identify which portray quadratic functions with real roots and which do not. This is a beginner level introduction to quadratic discriminants as part of a broader study on quadratic equations.

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

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Quadratic Discriminants - Has Real Roots to Graph Worksheet

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Quadratic Discriminants - Has Real Roots to Graph
1
Which graph shows this a quadratic function that has real roots?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
2
Which graph shows this a quadratic function that has real roots?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
3
Which graph shows this a quadratic function that has real roots?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
4
Which graph shows this a quadratic function that does NOT have real roots?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
5
Which graph shows this a quadratic function that has real roots?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
6
Which graph shows this a quadratic function that has real roots?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
7
Which graph shows this a quadratic function that has real roots?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
8
Which graph shows this a quadratic function that has real roots?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem