Similarly to graphing linear inequalities in 2 variables, the goal is to determine where on the graph is the solution “true”. When talking about linear 2 variable inequalities, the graph will be shaded one side of the line (the shaded side contains the solutions that make the equation “true”). However, since every quadratic equation will be graphed as a parabola instead of a line, the shaded are where the solutions will be found is the area found inside the curve of the parabola.

Steps:

1. Determine all that can be determined by the given inequality ie. opens up/down, congruent to___, the y intercept etc…

2. if the inequality is presented general form, Factor (to determine the axis of symmetry and thus the vertex), factor to find the zeros, then add the value of the zeros together and divide that number by 2, this is the axis of symmetry.

3. Graph the inequality.

4. Use a Test Point to establish weather the inside or the outside of the graph contains the solutions.

5. Shade the area where the solutions are found.

Example: