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More Lessons for Geometry

Math Worksheets

In this lesson, we will learn

**Forms of Quadratic Functions**

### General Form to Factored Form

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

### General Form to Vertex Form by Completing the Square

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Geometry

Math Worksheets

In this lesson, we will learn

- the different forms 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* =

For example,

The **factored form** of a quadratic equation is *
y* =

For example,

The factored form is useful because we can see the

For example, the

The **vertex form** of a quadratic equation is *
y* =

For example,

The vertex form is useful because we can see the turning point or vertex of the graph.

For example, the turning point or vertex of

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

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.

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.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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