Solving Quadratic Equations Graphically


Exploration

GR. 9-12

Skill:

Solve quadratic equations by graphing.

Solving Quadratic Equations Graphically

Modify quadratic equations and observe the properties of their roots.

Putting It All Together

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

Question ouverte 1

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

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Question ouverte 2

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

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Question ouverte 3

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

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Question ouverte 4

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

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Question ouverte 5

What are we finding by setting equal to 0?

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