SOLUTION: can any quadratic function of the form y=ax^2+bx+c be changed into a quadratic function in vertex form by completing a square?

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: can any quadratic function of the form y=ax^2+bx+c be changed into a quadratic function in vertex form by completing a square?      Log On


   



Question 263376: can any quadratic function of the form y=ax^2+bx+c be changed into a quadratic function in vertex form by completing a square?
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
The answer is yes. By completing the square you convert the quadratic equation into the vertex form of a parabola. After the process is done you end up with the following:
y+=+a%28x-%28b%2F%282a%29%29%29%5E2+%2B+%284ac-b%5E2%29%2F%282a%29