How Do You Find the Zeros of a Quadratic Function on a Graph?

How Do You Find the Zeros of a Quadratic Function on a Graph?

Note:

The zeros of a quadratic equation are the points where the graph of the quadratic equation crosses the x-axis. In this tutorial, you'll see how to use the graph of a quadratic equation to find the zeros of the equation. Take a look!

Keywords:

  • problem
  • skill
  • finding zeros
  • graph
  • graphing
  • graphically
  • quadratic function
  • quadratic

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 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!

  • 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!

Further Exploration

  • Solve quadratic equations by inspection (e.g., for x^2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.