Completing the square to write a quadratic from standard form to vertex form

Показать описание

👉 Learn how to write a quadratic equation from standard form to vertex form by completing the square. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. It is of the form f(x) = ax^2 + bx + c.

Given a quadratic equation, we write the equation using completing the square by first making sure that the coefficient of the squared variable is 1, if not so, we divide through the terms by the coefficient of the squared variable. Next, we add to the left hand side of the constant term, the square of half the coefficient of the linear term, and subtract same from the constant term. The resulting equation is of the form f(x) = (x + a)^2 + b, where d is half the coefficient of the linear term and b is the difference between the constant term and the square of half the coefficient of the constant term.

Organized Videos:
✅Completing the Square
✅Find the Value C that Completes the Square
✅Standard to Vertex Form by Completing the Square
✅Find the Vertex by Completing the Square

Connect with me:

#Completingthesqaure #quadratics #brianmclogan

Рекомендации по теме

Комментарии

Thank you so much! This helped me prepare for my grade 11 quadratics test! 🎉

KenziOuellette

My only problem is when an odd number is times x, you get a decimal when dividing by 2 then squaring, then you are unable to do the diamond problem

frankiew

So i tried it and got the answer to my problem wrong

christiancarbajal

Completing the square to write a quadratic from standard form to vertex form

Solve by completing the square | Step by Step Technique

Solving Quadratic Equations By Completing The Square

Higher level completing the square, write in the form a(x + p)squared + q

Solve by Completing the Square: Step-by-Step Technique

Completing the Square | GCSE Maths 2025

Completing the square to write equation in standard form of a circle | Algebra II | Khan Academy

Completing The Square Method | Quadratic Equation | asH maths

Completing the square - write in the form (x + p)squared + q

Completing the square to transform from standard to vertex form

How to Solve By Completing the Square (NancyPi)

GCSE Maths - How to Factorise Quadratics by Completing the Square (Part 1 - Factorise When a=1) #52

Write a Quadratic Equation in Standard Form by Completing the Square (3 Examples)

Worked example: Rewriting expressions by completing the square | High School Math | Khan Academy

Completing The Square Explained In 1 Minute!

Completing the Square 2 - Corbettmaths

Complete the square to write the equation from standard form to vertex form

Completing the square to write a quadratic from standard form to vertex form

Solving a quadratic by completing the square

Completing the square for vertex form | Quadratic equations | Algebra I | Khan Academy

Completing the Square - GCSE Higher Maths

complete the square twice to write an equation of a circle in standard form

Showing how to complete the square

Solving a quadratic by completing the square

Use Completing the Square to put a Quadratic Function into Standard Form