How Do You Find the Vertex of a Quadratic Function?

How Do You Find the Vertex of a Quadratic Function?

Note:

The vertex of a quadratic equation is the minimum or maximum point of the equation. Did you know that you can use the formula for the axis of symmetry to help find the vertex of a quadratic equation? Watch this tutorial and see how it's done!

Keywords:

  • problem
  • skill
  • vertex
  • parabola
  • quadratic function
  • maximum
  • minimum
  • max
  • min
  • vertices

Background Tutorials

  • Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

  • Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

      • What is a Polynomial?What is a Polynomial?

      What is a Polynomial?

      If you learn about algebra, then you'll see polynomials everywhere! In this tutorial, you'll learn the definition of a polynomial and see some of the common names for certain polynomials.

  • 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!

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

      • 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!