Quadratic Inequalities

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Presentation transcript:

Quadratic Inequalities Section 3.6

Bellwork

What You Will Learn Graph quadratic inequalities in two variables. Solve quadratic inequalities in one variable. Graphing Quadratic Inequalities in Two Variables

A quadratic inequality in two variables can be written in one of the following forms, where a, b, and c are real numbers and a ≠ 0.

Take Note

Graphing a Quadratic Inequality in Two Variables Graph y < −x2 − 2x − 1.

Graphing a System of Quadratic Inequalities

Practice

Solving Quadratic Inequalities in One Variable A quadratic inequality in one variable can be written in one of the following forms, where a, b, and c are real numbers and a ≠ 0. ax2 + bx + c < 0 ax2 + bx + c > 0 ax2 + bx + c ≤ 0 ax2 + bx + c ≥ 0 You can solve quadratic inequalities using algebraic methods or graphs.