Solve Math, Science, Finance & Engineering problems with Steps
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
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
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
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
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
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
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
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
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
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