Parabola Graphing Calculator

parabola-forms

What is the purpose of the Parabola Graphing Calculator? It allows you to graph Parabolas. In particular, you can experiment with the 3 different forms of Quadratic Equations: Vertex, Standard and Factored Form. Different equations may produce the same Parabolas. For example, these 3 equations will graph the same Parabola. Try it below. y = … 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

Solve A Quadratic Equation by Completing the Square

Complete 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

How to Factor a Quadratic Equation and Solve It.

factor quadratic equation

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

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

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

parabola-forms

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