In this lesson, we will learn

• the form of quadratic functions
• general form
• factored form
• vertex form
• how to convert from general form to factored form.
• how to convert from the general form to the vertex form using the vertex formula.
• how to convert from the general form to the vertex form using completing the square.

We can write quadratic functions in different ways or forms.

• General Form
• Factored Form
• Vertex Form

The general form of a quadratic equation is
y
= ax2 + bx + c where a, b and c are real numbers and a is not equal to zero.
For example, y = 2x2 + 5x − 30

The factored form of a quadratic equation is
y
= a(x + b)(x + c) where a, b and c are real numbers and a is not equal to zero.
For example, y = 2(x + 6)(x − 5)

The vertex form of a quadratic equation is
y
= a(x h)2 + k where a, h and k are real numbers and a is not equal to zero.
For example, y = 2(x + 6)2 − 5

The following video looks at the various formats in which Quadratic Functions may be written as.

## General Form to Factored Form

The following videos show how to change quadratic functions from general form to factored form.

## General Form to Vertex Form by using the Vertex Formula

We can change a quadratic function from general form to vertex form by using the vertex formula.

Example of how to convert standard form to vertex form of a parabola equation.

## General Form to Vertex Form by Completing the Square

We can change a quadratic function from general form to vertex form by completing the square.

The following video shows how to use the method of Completing the Square to convert a quadratic function from standard form to vertex form

Custom Search

Embedded content, if any, are copyrights of their respective owners.

Custom Search