Math Analysis – Find the Vertex of a quadratic equation

By | December 16, 2016

Vertex

In this tutorial the student will learn how to find the vertex given a quadratic equation in standard form and verify the results using technology.

Standard Form

ax^2+bx+c=0

Vertex expressions

x=\frac{-b} {2a}

y=f(\frac{-b} {2a})

Vertex (\frac{-b}{2a},f(\frac{-b}{2a}))

Once the quadratic equation is placed in standard form you are then able to easily identify a, b, and c.  Once you have made those identifications you just have to substitute values into the vertex expressions for both x and y.  The results of those substitutions will be the vertex of the quadratic equation.  This vertex will represent either the maximum or minimum of the quadratic.