1. Advanced Algebra Notes Section 4.9: Graphing Quadratic Inequalities A _________________________________ can be written as follows: Remember when graphing inequalities the inequality symbol tells you 2 things about the graph: ** If the symbol is a, then you will draw a __________ parabola. ** If the symbol is a, then you will draw a ________ parabola. Now we need to know where to shade our graph. We will pick a test point either inside or outside the parabola and plug it into the original inequality to find out if it is a true or false statement. If the statement is true, you will shade where the test point is located (inside or outside the parabola). quadratic inequality in two variables dotted solid

2. Examples: Graph the following quadratic functions. 1. a = 1, opens up, base shape Vertex: (2, 0) Connect points with dotted U-Shape. Test Point (0, 0) : 0 > 4 False Shade inside the Parabola.

3. 2. a = -2, opens down, narrower Connect points with a solid line. Test Point (0, 0) : 0 < 1 True Shade inside the parabola.

4. Graph a system of quadratic inequalities. 3. y > x 2 – 2x – 1 y < x 2 + 3x + 1 Equation 1: Vertex: (1, -2) Connect points with dotted line. Test point (0, 0) : 0 > -1 True Shade inside the parabola. Equation 2: Connect points with solid line. Test Point (0, 0) : 0 < 1, True Shade outside parabola.