## STANDARD TO VERTEX FORM CALCULATOR

Table of Content (8 min. reading time) 1 – Step by Step Solver: Find the Vertex of any Quadratic Equation 2 – How do you convert from Standard Form to Vertex Form? 3 – How do you locate the Vertex on the Graph of a Parabola? 4 – Example: How do you convert from Standard … Read more

## VERTEX FORMULA OF A PARABOLA

Table of Content (2 min. reading time) 1 – Step by Step Solver: Find the Vertex of any Quadratic Equation 2 – How do you find the Vertex of a Parabola? 3 – What is the Vertex of a Parabola 4 – Video: How to Find the Vertex Coordinates? 5 – Solved Problem: How do … Read more

## VERTEX TO STANDARD FORM CALCULATOR

How do you convert from Vertex to Standard Form? The Vertex Form of a Parabola is where are the Vertex Coordinates. The Standard form of a Parabola is To obtain the Standard Form from the Vertex Form we use these steps: Example: To convert we first apply the binomial formula to get Next, we distribute … Read more

## Standard Form of a Quadratic Function

What you need to know about Standard Form of a Quadratic Function The Quadratic Equation in Standard Form is $$\boxed{ ax^2+bx+c = 0 }$$ Then, the Vertex $$(h,k)$$ can be found from the above Standard Form using $$\boxed{ h= {-b \over 2a} , k=f( {-b \over 2a }) }$$ Once computed, the … Read more

## Factoring Quadratic Equations – Calculator

How do I Factor Quadratic Equations? A Quadratic Function in Standard Form : In Factored Form it looks like this: where r,s are the 2 Zeros. When distributing we get: Matching the Coefficients shows that the 2 Zeros r and s have to fulfill the 2 conditions: 1) and 2) In Words: 1) r and … Read more

Examples: How to Factor a Quadratic Equation Example1: Factoring Quadratic Equations with leading coefficient a=1Let’s solve the Quadratic Equation $$x^2- 6x+8 = 0$$ . The 2 zeros when multiplied have to equal 8. That could be 8 and 1 or 4 and 2, and their negatives. Additionally, they have to add to -6 which … Read more

## Solve A Quadratic Equation by Completing the Square

Solve A Quadratic Equation by Completing the Square Here is how to Solve by Completing the Square. The Quadratic Equation in Standard Form is To Solve by Completing the Square we add and subtract which yields: Completing the Square yields: which is the Complete the Square Formula. Sample Problem: Solve A Quadratic Equation by Completing … Read more

## Example of Completing the Square

Completing the Square Here is how to Solve by Completing the Square. The Quadratic Equation in Standard Form is $$\boxed{ y=x^2+bx+c }$$ To Solve by Completing the Square we add and subtract $$\textcolor{blue}{({b \over 2})^2}$$ which yields: $$\boxed{ y=x^2+bx+ \textcolor{blue}{({b \over 2})^2} + c – \textcolor{blue}{({b \over 2})^2} }$$ Completing the Square yields: … Read more