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

VERTEX FORMULA OF A PARABOLA

Table of Content (2 min. reading time) 1 – Step by Step Solver: Find the Vertex of any Quadratic Equation 2 – How do you find the Vertex of a Parabola? 3 – What is the Vertex of a Parabola 4 – Video: How to Find the Vertex Coordinates? 5 – Solved Problem: How do … Read more

VERTEX TO STANDARD FORM CALCULATOR

How do you convert from Vertex to Standard Form? The Vertex Form of a Parabola is where are the Vertex Coordinates. The Standard form of a Parabola is To obtain the Standard Form from the Vertex Form we use these steps: Example: To convert we first apply the binomial formula to get Next, we distribute … 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: 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 to … Read more

Domain and Range Calculator

Free Domain and Range Calculator Find the Domain and Range for any Function in a matter of seconds. How do I use the Domain and Range Calculator? Just enter your Function and press the “Calculate Domain and Range” button. The Domain and Range will be displayed in a new window. What is the Domain and … Read more

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

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

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