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GeoGebraClasse GeoGebra

Solving Quadratic Equations Graphically

Modify quadratic equations and observe the properties of their roots.

Tâche 1

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Tâche 2

What do you notice about the roots of the equation? Where on the graph do the roots of the equation lie?

Tâche 3

What does the graph of a quadratic equation with exactly one root look like? Where does the -intercept lie?

Tâche 4

What do you notice about the graph of a quadratic equation with no real roots?

Tâche 5

What does the graph of look like when the coefficient for is 0?

Tâche 6

What are we finding by setting equal to 0?