How Do You Graph a Quadratic Inequality?

Note:

Graphing a quadratic inequality is easier than you might think! You just need to know the steps involved! This tutorial takes you through those steps to help you understand how to graph a quadratic inequality.

Keywords:

problem
graph
quadratic
inequality
graphing
parabola
inequalities

Background Tutorials

Graphing Linear Inequalities
- How Do You Determine if an Ordered Pair is a Solution to a Linear Inequality?
  
  To see if an ordered pair is a solution to an inequality, plug it into the inequality and simplify. If you get a true statement, then the ordered pair is a solution to the inequality. If you get a false statement, then the ordered pair is not a solution. Take a look at this tutorial and learn how to determine if an ordered pair is a solution to an inequality!
Evaluating Expressions
- How Do You Evaluate an Algebraic Expression?
  
  Plugging variables into an expression is essential for solving many algebra problems. See how to plug in variable values by watching this tutorial.
Ordered Pairs and The Coordinate Plane
- What is the X-Axis?
  
  To graph a function or plot an ordered pair, you need to use a coordinate plane, so you should learn all about it! In this tutorial, you'll learn about the x-axis and see where it's located in the coordinate plane.
Quadratic Functions
- How Do You Graph a Quadratic Function?
  
  When you're trying to graph a quadratic equation, making a table of values can be really helpful. Before you make a table, first find the vertex of the quadratic equation. That way, you can pick values on either side to see what the graph does on either side of the vertex. Watch this tutorial to see how you can graph a quadratic equation!
- What is the Vertex of a Quadratic Function?
  
  Each quadratic equation has either a maximum or minimum, but did you that this point has a special name? In a quadratic equation, this point is called the vertex! Take a look at the vertex of a quadratic equation by watching this tutorial.
- What is a Parabola?
  
  If you graph a linear function, you get a line. If you graph a quadratic function, you get something called a parabola. A parabola tends to look like a smile or a frown, depending on the function. Check out this tutorial and
Relation Definitions
- What's a Solution Set?
  
  When an equation has two variables, the set of ordered pairs that are the solution to the equation are called the solution set to the equation. In this tutorial, you'll learn the definition of a solution set and see an example. Take a look!
Definitions for Quadratic Functions
- What is the Axis of Symmetry of a Quadratic Function?
  
  Ever notice that the left side of the graph of a quadratic equation looks a lot like the right side of the graph? In fact, these sides are just mirror images of each other! If you were to cut a quadratic equation graph vertically in half at the vertex, you would get these symmetrical sides. That vertical line that you cut has a special name. It's called the axis of symmetry. To learn about the axis of symmetry, watch this tutorial!
Graphing and Solving Quadratic Inequalities
- What is a Quadratic Inequality?
  
  A quadratic inequality is just like a quadratic equation, except instead of an equal sign there's an inequality! Check out this tutorial to see the characteristics of a quadratic inequality and get some practice identifying them.