Complete the Square Calculator
Here’s the complete the square calculator to help to quickly complete the square of a quadratic function.
Fill in the coefficients of the quadratic function, a, b, and c in y = ax2 +bx+c
How to Complete the Square
To complete the square, we rewrite y = ax2 +bx+c into y= a(x+g)2 + h, where a, b, c, g and h are constants.
We can find g and h using the formulae:

How “a” affects shape of quadratic curve
The value of a affects the shape of the quadratic curve.
When a> 0, the quadratic curve has a minimum point.
When a< 0, the quadratic curve has a maximum point.