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How To Write Standard Form Into Vertex Form

Examples

Basic Example

Complex Example

Negative Coefficients

Fractional Coefficients

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How to get started

Step 1

Enter the quadratic equation in standard form (e.g., y = ax^2 + bx + c) into the input field provided.

Step 2

Provide any additional details or constraints you might have, such as specific values or conditions.

Step 3

Click on the 'Convert' button to get the equation in vertex form along with a detailed explanation of the steps involved.

Main Features

Mathematics Conversion

Learn how to write standard form into vertex form with our AI service. Whether you're dealing with basic or complex quadratic equations, our tool provides clear, step-by-step instructions to help you master the conversion process.

FAQ

What is standard form and vertex form of a quadratic equation?

Standard form of a quadratic equation is written as y = ax^2 + bx + c, while vertex form is written as y = a(x-h)^2 + k. Converting between these forms involves completing the square.

Why is it useful to convert to vertex form?

Vertex form makes it easier to identify the vertex of the parabola, which is useful for graphing and understanding the properties of the quadratic function.

Can your AI service handle complex equations?

Yes, our AI service can handle a variety of quadratic equations, including those with negative or fractional coefficients.

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