Solving Quadratic Equations Graphically
Modify quadratic equations and observe the properties of their roots.
Task 1
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Task 2
What do you notice about the roots of the equation? Where on the graph do the roots of the equation lie?
Task 3
What does the graph of a quadratic equation with exactly one root look like? Where does the -intercept lie?
Task 4
What do you notice about the graph of a quadratic equation with no real roots?
Task 5
What does the graph of look like when the coefficient for is 0?
Task 6
What are we finding by setting equal to 0?