## Compute Discriminant – to discriminate between Real and Complex Solutions of a Quadratic Equation.

What you will learn in this mini lesson You will learn how to find the Discriminant of a Quadratic Equations in Standard Form and its significance in solving Quadratic Equations. Our Step by Step Calculator allows you to compute the Discriminant of your own quadratic equation. Quick Example 2×2 -12x+16 has the discriminant: = b2 … Read more

## Domain and Range Calculator

What is the Domain and Range? 1) The Domain is defined as the set of all possible x-values that can be plugged into a function. 2) The Range of a function is defined as the set of all resulting y values. Example: Find the Domain and Range of √(x-3) 1) The Domain is defined as … Read more

## VERTEX TO STANDARD FORM CALCULATOR

How to convert from Vertex to Standard Form? The Vertex Form of a Parabola is y=a(x-h)²+k where (h,k) are the Vertex Coordinates. The Standard form of a Parabola is y=ax²+bx+c Let’s do an easy example first Let y=2(x-1)²-5 we first apply the binomial formula to expand and get y=2(x²-2x+1)-5 Next, we distribute the 2 to … Read more

## 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

## Solve A Quadratic Equation by Completing the Square

What you will learn in this mini lesson You will learn how to solve Quadratic Equations in Standard Form by Completing the Square. Our Step by Step Calculator allows you to Complete the Square and Solve your own quadratic equation. Quick Example 2×2 -12x+16 Factor out 2: = 2(x2 -6x+8) = 2(x-3)2 -2 since 2(x-3)2 … Read more

## Vertex Form in 5 Minutes (Formulas, Solvers, Examples)

What is Vertex Form of a Quadratic Equation? The Vertex Form is f(x) = a(x-h)²+k . It is one of three ways to express a Quadratic Equation. The Vertex Form allows to read off the Vertex of a Parabola. For Example, f(x) = 2(x-3)²+5 allows us to read off the Vertex (h,k) = (3,5) How … 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 \ ax²+bx+c = 0 } Then, the Vertex (h,k) can be found from the above Standard Form using \ h= {-b \over 2a} , k=f( {-b \over 2a }) } Once computed, the vertex coordinates are … Read more

## How to Factor a Quadratic Equation and Solve It.

What you will learn in this mini lesson You will learn how to factor and solve Quadratic Equations in Standard Form when the leading coefficient A=1 and also when A ≠ 1. Our Step by Step Calculator allows you to factor and solve your own quadratic equation. Quick Example when A ≠ 1 2×2 -12x+16 … Read more

## The 3 Parabola Forms: Standard Form, Vertex Form and Factored Form.

What you will learn in this mini lesson You will learn how the 3 different forms of Quadratic Equations and their uses. Our Step by Step Calculators allow you to convert your quadratic equation from one form to another. Quick Example: Convert from Standard to Factored Form 2×2 -12x+16 Factor out 2: = 2(x2 -6x+8) … Read more