2. Aim: How do we graph and solve quadratic inequality in two variables? Do Now: Graph y < x – 4

3. Graph the inequality 1. Solve the inequality for y 2. Graph the corresponding quadratic equation y = x 2 + 4x – 3. Since the inequality , use a solid curve to indicate that the parabola is part of the solution.

4. 3. The values of y > x 2 + 4x – 3 are those in the region above the parabola. Shade this region. 4. Check: Use any convenient test point to verify that the correct region has been shaded. Try (0,0). Yes!

5. The following figures demonstrate some of the quadratic inequalities in two variables y > ax 2 + bx + c y < ax 2 + bx + c

6. Notice: ,  use solid curve and >, < use dotted curve for the parabola

7. Graph then find the x-intercepts