# The 3 Parabola Forms: Standard Form, Vertex Form and Factored 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: \boxed{ y = ax^2+bx+c }

Vertex Form: \boxed{ y = a(x-h)^2+k} . (h,k) = Vertex Coordinates.

Factored Form: \boxed{ y = a(x-r)(x-s)} . r and s = Zeros of the Parabola.

### What are Examples of the 3 different Parabola forms?

Standard Form: \boxed{ y = x^2+6x+8 } can be rewritten in as

Vertex Form: \boxed{ y = (x+3)^2-1} . It tells us that above Parabola has Vertex Coordinates = (3,-1) . The Process to convert from Standard Form to Vertex Form is called “Completing the Square” and can be done here with steps:
Solve A Quadratic Equation by Completing the Square

Factored Form: \boxed{ y = (x+4)(x+2)} . It tells us that above Parabola has Zeros -4 and -2 . The Process to convert from Standard Form to Factored Form is called “Factoring a Quadratic Equation” and can be done here with steps: