## Parabola Form

What are the 3 different Parabola Forms? Parabolas are the Graphs of Quadratic Equations. There are 3 different forms of Quadratic Equations: Standard Form: Vertex Form: . (h,k) = Vertex Coordinates. Factored Form: . r and s = Zeros of the Parabola. What are Examples of the 3 different Parabola forms? Standard Form: can be … Read more

## Domain and Range of a Parabola

Table of Content (8 min. reading time) 1 – Step by Step Solver: Find the Range of a Parabola 2 – What is the Domain of a Parabola? 3 – How do I write the Range in Interval Notation? 4 – Example: Domain and Range of a Parabola 5 – Is there a Domain and … Read more

## 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

## Solve Quadratic Equations using the Quadratic Equation Formula

How to Solve a Quadratic Equation has the 2 solutions: Sample Problem: How to solve a Quadratic Equation by Factoring What are the zeros of ?It means solving the quadratic equation .The fast way to solve the quadratic equation is by factoring which means to rewrite as Testing and yields indeed implying the two solutions … Read more