How Do You Graph a Quadratic Equation in Intercept Form?

How Do You Graph a Quadratic Equation in Intercept Form?

Note:

Graphing a quadratic equation in intercept form is a breeze! All the information you need is in the equation. You just need to pick it out and use it. Follow along with this tutorial to see how to take an equation intercept form and use it to find the x-intercepts, vertex, and axis of symmetry.

Keywords:

  • problem
  • graph
  • graping
  • quadratic equation
  • intercept form
  • x-intercepts

Background Tutorials

  • Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

      • What is the Axis of Symmetry of a Quadratic Function?What is the Axis of Symmetry of a Quadratic Function?

      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!

      • What is a Parabola?What is a Parabola?

      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 learn about parabolas!

  • Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)^2= q that has the same solutions. Derive the quadratic formula from this form.

      • What is a Quadratic Equation?What is a Quadratic Equation?

      What is a Quadratic Equation?

      You can't go through algebra without seeing quadratic equations. The graphs of quadratic equations are parabolas; they tend to look like a smile or a frown. There's also a bunch of ways to solve these equations! Watch this tutorial and get introduced to quadratic equations!

  • Graph linear and quadratic functions and show intercepts, maxima, and minima.

      • What's the X-Intercept?What's the X-Intercept?

      What's the X-Intercept?

      When you have a linear equation, the x-intercept is the point where the graph of the line crosses the x-axis. In this tutorial, learn about the x-intercept. Check it out!

      • What is the Vertex of a Quadratic Function?What is the Vertex of a Quadratic Function?

      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.

Further Exploration

  • Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

      • How Do You Graph a Quadratic Function?How Do You Graph a Quadratic Function?

      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!