## Discriminant Calculator

What you need to know about the Discriminant of a Quadratic Equation The Discriminant is the red part of the Quadratic Equation Solution Formula below: Example: Find the Discriminant of a Quadratic Equation What is the Discriminant of ?The coefficients are and . We plug those into the formula for Discriminant to get which simplifies … 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

## Vertex Form in 5 Minutes: What is Vertex Form? How do I find it?

What is the Vertex Form of a Quadratic Equation? How does it differ from Factored Form and Standard Form? There are 3 ways to express Quadratic Equations.Each one gives some information about the Graph of a Parabola: 1) This is called Vertex Form.It tells us that the Graph of f(x) has Vertex Coordinates . 2 … 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

## 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

## How To Complete the Square – Calculator

How to Complete the Square The Quadratic Equation in Standard Form is $$\boxed{ y=x^2+bx+c }$$ To Complete 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: $$\boxed{ y=(x+b/2)^2 + c – ({b \over 2})^2 }$$ … Read more

## Standard Form 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