Algebra I Recipe: Graphing Quadratic Inequalities
By G Redden
- Determine if the boundary will open up or down.
- Find the vertex point.
- Find the x-intercepts.
- Find additional points by filling in the box.
- Graph every point found.
- Connect the points.
- Solid boundary – if standard form has ≥ or ≤.
- Broken boundary – if standard form has > or <.
- Shade the graph.
- Above the boundary – if standard form has > or ≥.
- Below the boundary – if standard form has < or ≤.
1.
y > 3x2 - 2x + 4
2.
y ≤ 2x2 + x + 6