6-2 Solving Quadratic Equations by Graphing

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Presentation transcript:

6-2 Solving Quadratic Equations by Graphing Objectives: Students will be able to Solve quadratic equations by graphing Estimate solutions of quadratic equations by graphing

A quadratic equation is an equation in the form: The solution(s) of a quadratic equation are called the roots of the equation. One way to find the roots is to find the zeros of the related quadratic function. The zeros of the function are the x-intercepts of the graph.

Take a look at this graph. What are the zeros?

The number of solutions of a quadratic equation will depend on how many times the graph crosses the x-axis.

Example 1: Solve each equation by graphing. 1)

2)

3)

Try these. 4) 5)

Often, exact roots cannot be found by graphing. In this case, you can estimate solutions by stating the consecutive integers between which the roots are located. Munchkin wants to graph!

Example 2: Solve each equation by graphing Example 2: Solve each equation by graphing. If the exact roots cannot be found, state the executive integers between which the roots are located. 1)

Try this. 2)