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Graphing Quadratic Inequalities

Graphing Quadratic Inequalities 1.4 - Solution

arrow_back Return to Graphing Quadratic Inequalities

To graph the quadratic inequality, we will follow three steps.

  1. Graph the related quadratic function.
  2. Test a point not on the parabola.
  3. Shade accordingly. If the point satisfies the inequality, we shade the region that contains the point. If not, we shade the opposite region.

Step

Let's draw the graph of the related function, which is

Step

Next, let's determine which region to shade by testing a point. For simplicity, we will use as our test point. Let's see if it satisfies the given inequality.

Step

Since produced a true statement, we will shade the region that contains the point. Also, note that the inequality is not strict. Therefore, the parabola will be solid.