VERTEX TO STANDARD FORM CALCULATOR

Standard and Vertex form of a Quadratic Equation

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

Complete the Square – Formula

Complete the Square

Complete the Square Formula Let’s derive the Complete the Square Formula below. 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 … Read more

Solve by Completing the Square

Complete the Square

Solve by 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 … Read more

Solve A Quadratic Equation by Completing the Square

Complete 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

Complete the Square Example

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