Graphing Quadratic Inequalities

Steps for Graphing Graph the vertex 2. Use the slope to get the other points For < or > use DASHED for ≤ or ≥ use SOLID line Shade For > or ≥, shade ABOVE the vertex, for < or ≤ shade BELOW the vertex

Shading

Graph: y ≤ x2 + 6x – 4 * Vertex: (-3,-13) Slope 1 * Solid Line * Less than means shade BELOW

Graph: y > -x2 + 4x – 3 * Vertex: (2, 1) Slope -1 * Dashed Line * Greater than means shade ABOVE

Graph: y ≥ 2(x-4)2 – 4 * Vertex: (4, -4) Slope 2 * Solid Line * Greater than means shade ABOVE

Graph: y > -3(x-2)2 + 9 * Vertex: (2, 9) Slope -3 * Dashed Line * Greater than means shade ABOVE