Solving Quadratic Equations Graphically

Student Preview
Options Menu

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.

Open-ended question 1

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

Text and maths input

Open-ended question 2

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

Text and maths input

Open-ended question 3

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

Text and maths input

Open-ended question 4

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

Text and maths input

Open-ended question 5

What are we finding by setting equal to 0?

Text and maths input